NL50: River value question

[Mr_Pathetic]

Don't know much about this guy except he playing a ton of hands preflop and doesn't really fold much post-flop. Probably goes to showdown 1/3 times or more although I did not check his stats for that. Flop is a bet for value but should I go for a check on turn with intent to call or bet out if I think he will still call with a J or a PP? he does like to do a lot of calling postflop and seems pretty passive so not really sure. passive as in a 1.5 AF. against a more aggressive villain i tend to go into c/c mode on turn and let him bet his J but I think I may lose value against such a passive calling type player if I do that against them. how wrong am i in thinking this?

Full Tilt Poker, $0.25/$0.50 NL Hold'em Cash Game, 6 Players
LeggoPoker Hand History Converter

CO: $48.50
BTN: $32.10
SB: $66.55
Hero (BB): $51.80
UTG: $34.70
MP: $44.15

Pre-Flop: A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/heart.gif[/img] dealt to Hero (BB)
UTG folds, MP calls $0.50, CO folds, BTN calls $0.50, SB folds, <font color="red">Hero raises to $2.50</font>, MP calls $2, BTN folds

Flop: ($5.75) J K[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/heart.gif[/img] (2 Players)
<font color="red">Hero bets $4.25</font>, MP calls $4.25

Turn: ($14.25) K (2 Players)
<font color="red">Hero bets $11</font>, MP calls $11

River: ($36.25) 9 (2 Players)
<font color="green">Hero wonders if he can bet for value against a jack and fold to a raise? Hero also wonders if he should have checked the turn...</font>