Dear Leatherass,
I am a Hungarian member, and we got this promotion with more than one day later, please consider this, when evaluating the results and i will appreciate it, if you will.
Although i tried to skip most of the comments (to not let influence myself, (unfortunately) the first ones i can't miss @first page)
For first: this hand is one of the few hands, when we should completely be out of line, and play the villain! I think this is important thing to mention in the beginning.
I will go completely through the whole hand, and will analyse the lines we can have, we can choose.
Preflop
♦ Fold is obviously not an option vs an aggressive fishy player (with such a high donkbet frequency, vpip/pfr, and with that reads we have on him, so all in all -> the villain can be nothing else but a fish, and we like to play against fishes:) )
♦ 3bet would be an option, we should consider it, but think about it: We will make the pot big with a 3bet, the fish will obviously not fold, the reg can also call, because the fish has weak range we have weaker range, because we want to isolate the fish, so he can call also light, and we have not much room to play in a big pot with 78s)... I would rather sqz in a situation: when are in one of the blinds CO -who is a reg- raise, and BU cold call (who is the same fish), i would rather 3bet in this situation. (Or we are @BB and fish @SB)
I am prefer the calling option because --->
♦ we will have the best relative and absolute position in every street!
♦ the suited connectors play the best in multiway pots, and in position (or with initiative) this is an old concept, old but gold (and true)
♦ we can play perfectly with the knowledge of the open raiser and cold caller actions, we can call for flush, straight, if the odds is good, we can stab for deadmoney... (sometimes although reg can be x/r the flops with the reads of the fish always donk, so i only stabbing in position with nothing or with very good equity...this is only small part of the cases, because fish will attack almost ever time, when original raiser will check... but should consider and count with it also before we see the flop!!! So we need to make consider in every possible option postflop)
♦ The regular will be perfectly honest meaning he will not bluff cbet to two player when one of them is a fish! This is also super for us. (we will have information about the open raiser range in every flop this range will be bluff free (only very strong semibluff can cbet)
♦ in sick situation like this--> when the villain cbet lets say smallish, we can bluff raise against villan, but value raise against the fish, regular need to fold an AA in that is a spot, and fish can call with a draw, or can shove with a draw, almost an option we can consider (also in a small time of the cases, and we need to represent something lets say 678 flop definitely a raise but 579 also and so on...)
Another concept: he will play more bet/fold than bet/call, because our range is super strong basically, and he have more mid strong hand (overpair TT-AA 678 on his range, than 66,77,88 or a straight, two pair, pure mathematics, i will describe it with more details in later)
Flop
6:s 4:c 7:c
♦ Reg checked (as we think he will do most of the time, because in an openraiser range the high cards is the most part of the range like AT+, KJ+) so basically he will cbet only maybe less than 50% of the time, with his legitimate (honest) range--->
♦ only with overpairs (bet/fold),
♦ strong/monster draws (bet/call),
♦ weak draws (bet/fold), weak Top pairs, not in this case (but every other case), here he will have not much TP maybe 78s( but we have one, board contains one so only 2 suited 78 remains)
So basically if he super loose in that situation because of the fish; lets say 40% openraise, because he want to play with the fish
{22+,A2s+,K5s+,Q8s+,J8s+,T7s+,96s+,86s+,75s+,A2o+,K7o+,Q9o+,J8o+,T8o+,98o} he will in this particular flop he will bet only:
{44+,A7s-A5s,K7s-K5s,Q8s,J8s,T7s+,96s+,86s+,75s+,A7o-A6o,K7o,JTo,T8o+,98o and every suit A2s+, K5s+,Q8s+} maybe nittier because he wont c-bet the GS like hands so he will check/fold almost ~60% of the hands from a 40% openraise
If he is nittier ---> lets say 25% openraise he will x/f almost ~70% of his range (pretty weird, isn't it? that's because his range will be more overcards towards, than the 40% openraise)
Anyway let's say just for the fun, if he cbet 30% of the time, he should have only 9 combo set, and some monster draw, and only 99-TT is already more than 12 combo. He will fold for sure (against a raise) JJ-QQ, and if he is good KK, AA also, not mention weak draws (like naked 89), and (maybe) 55.... So he will almost bet/fold more than 70% of the time, when he cbet (maybe this can change, but he has a pretty wide bet/folding range against us), again a good thing to keep in mind...
♦ every case, and we need to think about it!!! The reg can be check/raising easily, with his value hands, because of the fish flop tendencies (if he has the read wich we have), so we can own ourself with a raising when the fish bets, the concept of this --->
we need to have a draw or weak hands, when we only call the fish (more preciously our perceived range seems to this),
♦ So all in all, the reg checked, and check/folded as we expected from him in the most part of the time... Now we have with the fish, best option here only to CALL, because we have read, later more about this idea:
♦ Lets just say a very important concept again in this hand, if we don't know he will continue almost EVERY TURN (obviously more turn barrels when there is a lot of draw, than let's say A:s4:d9:c super dry flop...), then we can consider raising for value, but we know his tendencies....
Turn
6:s 4:c 7:c T:s
♦ some guy might think it is a bad card, but truthfully it is a very good card (for the villain to continue), i mean the board contains more draw, he will now continue his bluffing with every 9x, every 5x, every draw (two type) and every 2 overcard (also draw for him:))... And we have the read... So we can state now, here at turn. He will continue almost 100% of his flop donking range!
♦ Lets just say a very important concept again in this hand, if we do know he will continue EVERY RIVER, if we call!!! (based on our turn, flop reads, and also 3/3 river read) we can again raise for value (because he will not much likely bluff shove his weak part of range, and we don't get extra value, but maniac fishes not like this, in my experience, if they start a big bluff they do it until the end...)
♦ And lets say, if we push here, he will call with every draw, but he will not call with overcards, he will not call with gutshoots, and some of the hand, that he will bloff his stack to us at river
♦ And please understand this, we will always go broke with his top of his range: sets, two pairs, straights, draws, no matter what happens, no matter what cames at turn or river, but we will have value against his weak draws, sometimes complete airs (two over) only if we choose calldown line ... And we can't influence the river card, it is no matter we push with 78 vs his bd FD, he will got it, if we call or shove...
♦ i know the board seems pretty scarry, and you want to defend your hand, but if you think in the big picture you will understand it.
--------------------------------------->
We still not says nothing about the villians range, i know, it is so wide, we have a stat on him ~50% vpip, we have a read on him, that he is capable of donking every part of his range so i think we can start from here:
So we can start with flop 50% (due to his 100%bet, and high potdonking frequencies)
{JJ-22,A2s+,K2s+,Q2s+,J4s+,T6s+,96s+,86s+,76s,65s,A2o+,K5o+,Q7o+,J7o+,T8o+,98o} this is a 48% range we have 66% equity vs it
We can narrow it, if he 3bet more or widen it, if he 3bet less (or donking multiway with less frequency, but honestly i dont think seeing his stats, and the reads)
vs 41% range we have 62% equity
vs top ~30% range we have 60% equity
I don't think he will have ever more narrow range than that...
I think at turn he will almost continue with everything, but lets say a slightly realistic range:
{99-22, ATs+, KTs+, QTs+, JTs, J6s-J5s, T6s+, 96s+, 86s+, 76s, 65s, 54s, AQo-A2o, K5o+, Q7o+, J7o+, T7o+, 98o, 54o, As9s, Ac9c, Ks9s, Kc9c, Qs9s, Qc9c, Js9s, Jc9c, As8s, Ac8c, Ks8s, Kc8c, Qs8s, Qc8c, Js8s, Jc8c, As7s, Ac7c, Ks7s, Kc7c, Qs7s, Qc7c, Js7s, Jc7c, As6s, Ac6c, Ks6s, Kc6c, Qs6s, Qc6c, As5s, Ac5c, Ks5s, Kc5c, Qs5s, Qc5c, As4s, Ac4c, Ks4s, Kc4c, Qs4s, Qc4c, Js4s, Jc4c, As3s, Ac3c, Ks3s, Kc3c, Qs3s, Qc3c, As2s, Ac2c, Ks2s, Kc2c, Qs2s, Qc2c} this is 44% contains almost every possible flushdraw, gutshoot, single pair, and some bluffs aswell we have 66% against it...
I played a little bit with the ranges but truly i cant give him a range when we are behind his betting/donking range...
Anyway now come the magic:) We ask for the math to do the job... I will only calculate now the turn, beucase we have option at the turn at this specific hand:
So-->
Shoving line:
The bad thing is that when we shove at turn, we will narrow his range, and the complete airs will be vanishing from his range so his calling range should be only good draws, pairs, overpairs, szetts, twopairs, and straights->
{99-22,ATs,KTs,QTs,JTs,T6s+,96s+,86s+,76s,65s,54s,ATo,A7o,KTo,K7o,QTo,Q7o,JTo,J7o,T7o+,98o,54o,As9s,Ac9c,Ks9s,Kc9c,Qs9s,Qc9c,Js9s,Jc9c,As8s,Ac8c,Ks8s,Kc8c,Qs8s,Qc8c,Js8s,Jc8c,As7s,Ac7c,Ks7s,Kc7c,Qs7s,Qc7c,Js7s,Jc7c,As6s,Ac6c,Ks6s,Kc6c,Qs6s,Qc6c,As5s,Ac5c,Ks5s,Kc5c,Qs5s,Qc5c,As4s,Ac4c,Ks4s,Kc4c,Qs4s,Qc4c,Js4s,Jc4c,As3s,Ac3c,Ks3s,Kc3c,Qs3s,Qc3c,As2s,Ac2c,Ks2s,Kc2c,Qs2s,Qc2c}
His range is narrowed to this and we have 44% against this range : / It is still OK, we are +EV with the deadmoney, and maybe sometimes he call with worse (gutter, etc...) but not much time...
1696 effective stack front of us after we called the bet-> 2326 before we call the bet, but we insta shove (not much option pot is 1260$ already)
2326/5282 -> 44% potodds = 44% Equity
OK
it is seems 0 EV but maybe i boosted the villian range too much : ) All in all I think our equity vs his calling range is better than 44%, but not much, not like 66%... But slightly + EV.
Calling line: (if he almost always shove at river, value and bluffs also)
I think it is good if we see how are our equity at the different arriving cards --->

So we can see at the picture that the worst card are:
♦ A:c
♦ A:s
♦ A:d
♦ A:h
♦ K:c
♦ Q:c
And our equity is still OK vs the worst card in the deck (if he bluff his airs) against arriving A:c we have 44% equity
Maybe slightly optimistic, because maybe he shutdown at the 20-30% of the time and not betting his air (but i don't think so) and our equity is STILL OK! if he shutdown...
We have still 66% equity and if he not continue the 20-30%-40% of the time, what happens? We can decrease or equity with the numbers, let's say he doesn't continue in 30% of the time ---> Our equity will be 47%
Still better than it was when we were shoving!!!!
So: 66%equity and potodds at turn 630$/1890$ ---> 33% equity would be enough and we have 66% --->
1890$*66% = 1247$ - when we win a pot
630*33% = -207$ -when we loose the pot
1247-207 ~1000$ EV the turn call...
River can calculate also this way
And if we know exactly the bad cards, and we doubt in our reads, our tracker program, we are scared money, we can find the fold button at the arriving cards (A:c, K:c... and so on)... But i think it would be a mistake....
River
After all our final conclusion--->
♦ we need to call the river no matter what cards came This is the most value line, against this type of player!
♦ if our read is wrong, or we have no information about his river playshould should close the hand with a turn shove and make no mistake with it (but if he not continue bluffing at river, we make a very big mistake with calling his shove at river...BUT! this is not the case now!!!)
Only one more important thing at the very end of the hand:
If we find ourself at the river and the villain check!, the truth that i expect from him a very low frequency checks at river maybe 3-5% of the time. So the point is again, we never ever should bluff against him, only value bet, because i can't imagine from him to not push at river with his air range, so i don't really expect so much fold from him, and if he sometimes fold, i don't ever think he can fold better than our hand (of course we can value push drill, straight...), every turn when our hand is didn't improve we should check if he checks to us... No point to bluff, absolutely...
I think the key concept of the whole hand is, that we have READ ---> We perfectly know, that the villain will donk almost his whole range, and he will barreling almost every time at turn (with this board texture more likely), and 3/3 at river... With this knowledge it is a very big mistake to narrow his range with a raise or a shove in any street...
Sorry for my long comment, but i just want to show, how many things we should consider when we decide to analyse a hand completely...
Best Regards,
LorD