I wouldn't be so scared against a very aggressive opponent, just because you're a little deeper.
By played so carefully, you let him run you over when you have less.

4-betting KK is bad at all. his range is likely weaker, and he probably knows you'll 4-bet lighter. Calling is absolutely fine, though.

But you should definitely c/r the flop, and not fold. You have top set, and Villian doesn't have many heart-heart combinations. He's going to stack off with plenty of worse hands, and worse case scenario, you have 34% equity. He's going to get in 66/55/AAh, and call with worse hands that you can get value from on the turn.

As played, I would call the turn, and any non-heart river. Might still call.

i dont think he would 3bet 55/66 pre,and if we can take those out of his range his stuck off range on the flop is a flush,quite a bit of combo i reckon=89 79 109 107108 J8 J8 10J QJ Q10 Q9etc plus all AhXh ,

he would just bet/call AhAx on the flop

i thought by c/c i keep my range super wide,he will never put me on  a set if the board paired,and monotone board are great to triple...somebody suggested that c/r turn would be a option and im considering it now

think you did good with not 4 bet pre flop

villan know that you think that he is an aggressive player , and by flat you keep your range wide

same in the flop.

turn : c/r is fine AJ,AQ h not gonna fold

lead the river

I'm 4-betting pre to negate my positional disadvantage, by intentionally bloating the pot with Top of my range.

This hand could play many ways: 4-bet sizing=$34.5

If you have certain dynamics with Villain, where he's 3-betting you light IP, and your countering with 4-bets, i could see a potential

3/9/34.5/82/185.2

where i could see you getting the last bet in, while Villain is committed to the pot with his likely 5-bet range

1) Even if Villain calls our 4-bet, The SPR is probably 2.2:1, and we could be comfortably stacking on any low board textures, where KK is an over pair.

If we're IP, i would be more inclined to play more postflop, when we're OOP, i like to bank on our equity, by raising when we are dominating Villains likely 3-betting hand range