8765s

Definitely lead out this flop. I think a $1.40 cbet and stack off if raised is an okay line to take on this flop (you're actually favourite over someone with a set).

BTN's pot bet on the flop is often something done by people with nut flush draws (they want you to fold). When you call the flop it's hard for villain to imagine you have strong hearts since he would totally expect you to cbet the flop. So in this respect your play is unbalanced and allows villain to pot bet the turn knowing you really can't have anything strong the way you played the hand.

I could see a reason for calling the turn because if villain is bluffing he likely gives up on the river (because he doesn't expect you to fold) so you could potentially call the turn and fold the river but I might even call down since the pot, pot, pot line on flop, turn and river is either just garbage trying to buy the pot or the nuts.

So against a reg call turn fold river is probably okay. Against a maniac calling down might be fine and against a fish folding the turn feels the best play because they wont bet the turn without a flush there.