40-80 River Decision

[andyfox]

Not a biggie, but I witnessed this hand last night in a Commerce 40-80 game and a few 2+2ers had some disagreement about the river.

You raise my big blind from MP with a hand that includes a King. The player on your immediate left, easily the fishiest, loosest player in the game, cold-calls. All this means is that she has two cards. (And even that's not definite.) She'll play virtually anything and will continue on indefinitely, sometimes passively, sometimes aggressively, with a piece of the board or with the hope of catching a piece of the board.

Button 3-bets, everyone else folds, you call and fishy calls.

Flop comes K-K-T rainbow. Checked to the button, who bets, you check-raise, fishy player cold-calls, and button now folds.

Turn is a blank. You bet, she calls.

River is a T. Check or bet?