[AndrewtheBold]

Let me preface this post by saying that I am very much a novice. That said, why not call the bet on the flop, and then do the following on the turn:
A) Anyone bets - you fold
B) No heart falls, checked to you - you push
C) Heart falls, checked to you - check and play the river by ear

Someone with Ax probably isn't going to bet the turn and your all-in bet on the turn when a non-heart falls provides terrible odds for a flush draw. Basically, you risk the same amount of money as when you push on the flop, but you have a much better read than you did on the flop so you can let it go some of the time that you are beaten. Is there something terrible about this play?