Some background, villain is a very good low stakes player that studies the game and is always working to improve. Pretty sure he listens to this podcast, also, FWIW. He definitely knows about barrellng (once I barreled an turned Ace with air and he called with pocket 8s. I didn't triple barrel and he won at showdown).
In this hand, I raise from MP with A8s and he calls on the button. Flop is 952 rainbow. I cbet, he calls. Turn is an ace and brings a backdoor flush draw.
The obvious thought is to bet this turn for value, we've already established that he knows about barreling cards and would call with much of his range. Do we worry about possibility of villain raising? My 8 kicker really can't stand a raise unless we have a very good read that he can do this as a bluff. (He knows that I know that he knows the ace is a good barrel card)....
So I don't know if it's a bet/call or a bet/fold.
But if I don't bet, check/call seems really gross.