If he is willing to get it all in on the turn, then this hand plays itself. I probably bet 7-8 on flop, but that is consistent with my usual c-bet.
The turn re-raise is perfect since it will get more of the 200bb in the pot before any scare cards hit. If you smooth call the turn and a heart hits the river he may not call a push. Get the $$ in while you are ahead, and while you can.