I think this is an excellent situation to check-raise the flop. You are out of position and at the button's mercy with a good but vulnerable flop. Without a read, his range of hands for a button min. raise are huge. I hate min. raises - they confuse me because I never make them.

Check-calling gives you NO info. You could have him badly beat, he could have AK, he could be continuation betting with a flush draw or even protecting a set with two hearts on board. Check-raising makes him the confused one and may just win you the pot right there.

That being said, if he calls, I slow down when the scary heart hits the turn.