[Brimstead]

hmmm, you don't seem to be getting much value for your set here. Unfortunately, the river is a heart and you opp may feel u checked a FD twice and are now betting it.

I would lead the flop, hoping for a raise, then 3bet. Either that or a check raise. If the villain has an ace then you want to start building the pot so that bets on subsequent streets are larger.

I would definitely bet the turn, i dont want villain checking behind and keeping the pot small. I would also want him to put money in before a scare card, ie. a heart, hits on the river.