Hey.

The villain is a bit weak NL100 regular with 58% RFI, 62% fold to 3bet and 13% 4bet BUvsSB but I expect him to fold less since we're deep. What should our general strategy on such a flop with KK or AA look like? Do we want to valuebet the flop  or we should prefer checking? Should our strategy change if we don't have K or A heart blocker and prefer betting more often since protection becomes more important? 

I would check here a quite balanced range of nuts (QQ, 99, Q9s, sometimes A9s), bluffcatchers that don't need lots of protection (AA, KK, AQ) and c/f stuff like ATo. Doesn't such strategy, which put so many nut hands into checking range, make our betting range vulnerable to aggression?

I suppose the villain will bet the flop with something like that:

Turn is a clear fold. 

I'd be really glad to hear any thoughts about playing overpairs on high paired board textures like this.

Thanks in advance!