KK 3way I check monotone flop in LP

[Genesis]

Ultimate Bet - No Limit Hold'em Cash Game - $0.05/$0.10 Blinds - 5 Players - (LegoPoker Hand History Converter)

Didn't have much of a read on either blind except that they both call too much preflop. Neither has shown a lot of postflop aggression.

SB: $13.55
BB: $11.36
UTG: $9.62
Hero (CO): $9.29
BTN: $16.14

Preflop: Hero is dealt K[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/diamond.gif[/img] (5 Players)
<font color="red">UTG raises to $0.35</font>, <font color="red">Hero raises to $1.20</font>, BTN folds, SB calls $1.15, BB calls $1.10, UTG folds

Flop: ($3.95) J[img]/images/graemlins/heart.gif[/img] 3[img]/images/graemlins/heart.gif[/img] Q[img]/images/graemlins/heart.gif[/img] (3 Players)
SB checks, BB checks, Hero checks

Turn: ($3.95) 4[img]/images/graemlins/diamond.gif[/img] (3 Players)
<font color="red">SB bets $3.95</font>, BB folds, <font color="red">Hero raises all-in to $8.09</font>, SB calls $4.14

River: ($20.13) 6[img]/images/graemlins/club.gif[/img] (2 Players - 1 All-In)

Pot Size: $20.13 ($1 Rake)

I didn't think a bet on the flop would fold out any decent hearts or Qx hand here and really don't want to get raised, so I wait for a safe turn (non-Ace, non heart) to make my move. Good, Bad, Awful?