Early in the match heads up villain seems to be a reg and I have yet to see him do anything out of line.

Think most villains will cbet this board often enough that we can get a good amount of folds when we checkraise plus i have the gutshot and back door hearts.

Turn gives us more equity and we can potentially fold out Tx or hands similar to our own that float flop. However I think betting turn is worse against a villain that does not have a three betting range on flop as he still has a lot of flush draws as well as sets and two pairs that are not folding.

I can see an argument for both checking and betting this river is it optimistic to expect villain to fold Kx enough on the river to make this profitable. My other concern is that if river is a heart or we hit out gutshot should we continue betting or is it better to bet. If villain just calls more against my flop check raise range do we end up overbluffing or even value cutting ourselves too often when we hit?