Folding top set makes me want to cry but I think its the correct play here, his overpush gives you almost no pot odds, you pretty much have to be ahead 50 of the time to break even. Unless I have seen this before or he is a moron I cant call here, the only hands you are beating that would make this play are 66 and maybe Q9 , other than that he has a flush. Decent players just dont overbet all in on the river as a bluff. Curse the poker gods for not pairing the board so you could stack his ass, then fold.

I really think you need to bet the turn here, the fact the ace is a heart makes it a lot less likely he has the flush.

I also wouldnt have chekced the turn.

As played, I still call.