Wasted bet on the river?

[Alexthegreat]

I think checking the turn is the smart play here...maybe you get a free card, maybe not, but I don't think you can expect your A high to win this pot....so go for a free card and check/fold the river if you get no help....You are betting their hands for them, and unless they BOTH have busted draws, betting the turn and river isn't going to send them anywhere.....