live RCG 5/10 hand - KK in SB against a bunch of limpers

[Lurker4]

Rockford Charitable Games 5/10, ten handed. Game in general is pretty loose-passive, somewhat similar to a Party .5/1 table. Maybe one or two other players has any idea of how to play postflop. In general, most suck at raising PF and value-betting/raising turn/river. There might be a suit or two wrong, but important details are here. Sorry if format is kind of sloppy.

Hero is in the SB w/ K [img]/images/graemlins/spade.gif[/img] K [img]/images/graemlins/club.gif[/img]
4 limpers to Hero, Hero raises, BB calls, all limpers call.
6 to the flop for 12 SB.

flop is 8 [img]/images/graemlins/diamond.gif[/img] 5 [img]/images/graemlins/diamond.gif[/img] 4 [img]/images/graemlins/heart.gif[/img]

Hero bets, BB folds, three limpers call, one limper folds.
4 to the turn for 8 BB.

turn is 8 [img]/images/graemlins/club.gif[/img]

Hero bets, all three remaining limpers call.
4 to the river for 12 BB.

river is A [img]/images/graemlins/spade.gif[/img]

Bet or check, and how close is it between the two?