I think I check behind there and see what he does on the river. The bet looks like a c-bet with perhaps a pocket pair. It appears the A was a scare card for Villain so check behind to see if he'll bluff on the river.

There is no possible hand out there that can beat you. Your hope is that the Villain somehow catches up on the river or bluffs at the pot. There's a good chance he might if he thinks your check on the turn meant you had nothing. At the very least, you've got one more street in which to extract value.

The problem with such a small bet on the turn is that it looks like you have a huge hand. If anyone is thinking at all (and they may not be), they would see you call a .75 bet on the flop and then raise only .25 on the turn. To me, that screams "call me because I have you beat and I want to get more of your money".