I'm betting about $8 on this turn every time. We know he doesn't have AK and he's dumping any other King on the flop. Whatever he called with on the flop, he's calling the turn. This is a great river to 1/2'ish pot for value.

As you played the turn, bet $13-$15 on the river. He knows you don't have a King and you've played this like AQ-A9. He'll call with AQ (not likely that he has it), let alone AJ, AT, and 55-99. I don't see what he's calling the flop, betting the turn, and folding for $15 on the river. The rare cases he has KQ, KJ, A5, 56, 44, 33, or 22, he'll raise and you'll make a decision. If it's cheap enough and he has you beat, give the finger to the monitor and move on. But he's got 55-99 a large portion of the time. Checking the turn isn't horrible because he's betting with any 2 cards and you'll commit him to the river and that river tells both of you that neither of you has a King.

No reason to believe you don't have the best hand from start to finish and I don't like a check/raise on the turn because it kills your action when he fears AK. The check's gonna induce a bluff, but he knows that if you have AK, you know he'll bluff at it and you lose river money.

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