[vixticator]

I think you should have bet the turn, 3bet pot. Flush or straight draw on flop should be a little bit less of his range than middle pairs, AK, AQ, or w/e. He doesn't have much behind so I would bet like $12 and call shove. Move in on any non heart river, I'd reluctanly check-call a heart since he'd only have ~10 left. I'd expect him to fold the turn bet most of the time though.

As played I would move in here. He's got $12 left and almost has to call with anything here except total air.