200NL - Value Bet Or Check Down River With Set?

[The Eureka Kid]

<font color="green"> Villain in this hand is TheYeti, he runs 16/9/1.43 over 1000 hands. We haven't tangled much, when we do it's usually me three-betting his LP raise and him giving a speech then folding. </font>

Poker Stars, $1/$2 NL Hold'em Cash Game, 9 Players
LeggoPoker Hand History Converter

Hero (MP2): $205.35
CO: $135.55
BTN: $52.60
SB: $84.70
BB: $198
UTG: $241.80
UTG+1: $354.35
UTG+2: $187.30
MP1: $172.75

Pre-Flop: 9[img]/images/graemlins/spade.gif[/img] 9[img]/images/graemlins/club.gif[/img] dealt to Hero (MP2)
2 folds, UTG+2 calls $2, MP1 folds, <font color="red">Hero raises to $10</font>, 3 folds, BB calls $8, UTG+2 calls $8

Flop: ($31) K[img]/images/graemlins/heart.gif[/img] 4[img]/images/graemlins/club.gif[/img] J[img]/images/graemlins/heart.gif[/img] (3 Players)
BB checks, UTG+2 checks, Hero checks

<font color="green"> Chose to peel not c-bet here. Connected board, two callers. Pretty standard right? </font>

Turn: ($31) 9[img]/images/graemlins/diamond.gif[/img] (3 Players)
<font color="red">BB bets $26</font>, UTG+2 folds, <font color="red">Hero raises to $85</font>, BB calls $59

<font color="green"> TheYeti leads out, is he only calling my raise here if he has me beat? </font>

River: ($201) 7[img]/images/graemlins/heart.gif[/img] (2 Players)
BB checks, <font color="red">Hero ???</font>

<font color="green"> The flush draw got there, possible straight, higher sets. Value betting extracts from KJ/44, but I'm not so sure that is such a big part of his range here. In years gone by I would have been happy to check this down, but now I'm always looking to value bet where I can... is this too thin? </font>

Thanks guys, appreciate your responses [img]/images/graemlins/smile.gif[/img]