Regarding your flop play - you put him on 2 hearts, AT or high PP - I would expect and higher PP (QQ-AA) to reraise you, so I would narrow it down to TT, AT and 2 hearts.
TT you are way behind
AT - you are way ahead but he has 5 outs
2 high hearts - lets say KQ he has 15 outs and you are ahead.

there is one player to act after you, if he has hearts you are giving him better odds to call by calling.
You are ahead of most hands, I think I push it