I'm sure that everyone will tell you that it depends on the type people you play against, your reads, history with them... so on.
I too think that the best thing you can do is post some plays with or without your reads in the hand evaluation forum, where the hand judges will pretty much tell you what to do and in a couple of hands you'll probably get the hand of it ^^
What I do in general is:
Out of position - I usually have the initiative with this kind of hands. Cbetting a boards you mention are perfect. A or K will often be in my open betting / 3betting range and they will often fold. Now if they call I just ask myself - how often does he fold to cbet? If the answer is that he never folds to cbet, but always calls to see what happens, I happily bet/fold the turn and check/fold the river.
Now in position I think a similar line is also possible, but with a little change. I will cbet pretty much any day against his check. If he donks close to 3/4 pot I will fold, but a small bet I call or even raise. As a matter of fact that's the other line you can take (considering he can fold) - raising his bet. Since you represent a decently strong range, rising a donk bet is often good, but you need some reads to do it. If he's a calling station and never lays down hands like K7 on a K64 board you shouldn't really do that.
Another good line imo is if it goes check-check on the flop and he opens the turn, you can raise him. That accomplishes two things:
1) if you get re-raised you can fold easily
2) if you get called, he will most surely check the river, giving you a free showdown, that can often win, mainly against lower pocket pairs, missed draws (if any) and middle pair kind of hands. If you with that way once out of two times (and I think you should on low limits) it's +EV
Of course if it's check-check flop and he checks the turn again, checking is not a mistake and calling any reasonable bet (like up to 2/3 - 3/4 pot) is OK too, because him checking 2 streets indicates a lot of weakness and he will "value" bet any piece he has of the board.
Again, try posting such hands to see what the hand judges will tell you 
Hope this was of some help,
good luck
~vic