Heads up slowplay gone awry?

[sam h]

15-30 Party 4-handed. Folded to me in the SB with KK. The BB is a big LAG if you show weakness but has not defended against several of my SB raises. I call and he checks, which basically means he doesnt have an ace, a king, a pair, or two cards over 9.

Flop is 542r. I checkraise, he three bets, and I cap. Turn is a rainbow 3. I checkraise again. He calls my river bet.

Comments?

[anatta]

The board is 5432. I would bet the turn. He may not have an ace, but if he cannot have two cards higher than 9, he easily could have a six or even two pair. I wouldn't want to fold my kings to a turn three-bet, so I would bet it.

I don't know about the old flop-cap/turn-check. I think you run the risk of either confusing him into a turn check or, if he has it, a three-bet. But you know this guy quite well, so maybe I'm wrong. After all, how could he check the turn?...he's open ended!