AT 3bet pot with fdraw

I prefer checking back OTT. As played I think we don't have odds to call.

Yeah, checking back turn is probably better, we don't really gain too much from betting. As played I guess we can call and fold to a non-heart river.

There are not many worse hands that will call our bet, so I like checking back more. I don't think that betting is that bad, though. We might still get some value from KK, QQ and maybe TT, but we will probably get a bit more value on river, though. When he raised, we need 22% of equity to call. If we assume that he always has a set there, we have 18%. With implied odds, I think we could call. If we give him AK, we have exactly 22%. So, overall, I think we can call, but it would be a really close call.

Xb and save the trouble for another day.

There is no need to bet the Turn. You have the nutflushdraw , so i would check back the turn. The reason is, that no worse hand is going to call you.

Tried to do some math, can someone tell me if this looks correct and if this is relevant?

Equity vs villain and river size are just examples also the amount villain will call OTR can be changed depending on what range we give him.