5O NL - QQ

I dont see a reason to check turn with a value hand unless you know that he is going to bet often (you can't know it after 450 hands).
when he pots turn, he reps imo trips+, and flush draws. Shove could be overplay if he folds his non nut fd.

Turn check is ok if you think villain will bet here often. I think I would still just bet myself.
Villains bet OTT is probably polarized. You look capped when you check turn.
Check raising has a good fold equity but at the same time do we isolate ourselves against better hands?
What do you think about xc turn and river instead?

I preffer pushing turn so that I extract value fm some spade draws he might call with i.e. A spade + x and pocket pairs below QQ with a spade.

The question is what will he bet pot with on the turn? If the bet was like 50-60% of pot he has much wider range, hence the push would be more profitable. But the pot bet should mean he thinks his hand is the strongest OTT and he want to protect it. if the latter is true, his range is manly flushes and trips my push is not that good and maybe fold turn was not that bad option.

You cbet the flop and check the turn so you look capped. It is a good strategy for villain to pot it or overbet here since you have to fold a huge part of your range against that big bet. I still think villain is polarized and can be wide even if he bets pot size. I would be much more worried if it was a 50% bet because it will look like he doesn't want to scare you away. I also think that when villain bets turn big, our shove gets mathematically more profitable since we still risk our stack but now we gain more when villain folds, correct me if I'm wrong.

I tend to x/c turn here as the board pairs and is drawy. Villain seems active and QQ may be better to try bluffcatching here.

XC seems fine on turn but not calling pot bet.

The question is what will he bet pot with on the turn?

on a flush+paired board there will not be that many weaker hands.
As we add the pot turn bet , our raise is too much here and will face stronger hands only.