I like bet/folding here. Villains check raising range is almost certainly going to always be hands that have us crushed, i.e. better pairs + better flush draws, so I can feel pretty comfortable betting with the anticipation of either picking up the pot right then and there, or getting away from a hand that could have us crushed.
This is a 3 bet pot and I want to keep the ball on my side of the court. If I check behind here I envision too many difficult or nasty scenarios on the turn. What happens when a brick hits and villain leads into us for close to full pot, or better yet when the heart comes and we get bet into again, or even when we make some scheisty two pair? From a reasonably competent and aggressive opponent I would expect to see this happen a lot. If all the same sort of turn cards come and we get checked too again, are we supposed to take a stab now? I just foresee too many complicated and difficult scenarios on the turn when we check behind. I prefer to keep things pretty simple and straight forward.
I bet somewhere between 40-45, and stacks are just barely deep enough that I think we can still get away from this if need be.
Now someone rip me a new one please