Sest out of position suck (KK hand)

[Isura]

Villain is unknown. Should I be betting this turn? My plan was to check and call the turn and lead the river. My thought process was that he might have the flush and I can avoid being raised, or he might bet a worst hand on the turn if I show weakness where as he would fold these hands to a turn bet (ie QQ-TT, etc).

Party Poker No-Limit Hold'em, $ BB (6 max, 6 handed) FTR converter on zerodivide.cx

CO ($35.70)
Button ($47.05)
SB ($39.70)
BB ($61.85)
Hero ($107.39)
MP ($47.82)

Preflop: Hero is UTG with K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/club.gif[/img]. SB posts a blind of $0.25.
<font color="#CC3333">Hero raises to $2</font>, <font color="#666666">1 fold</font>, CO calls $2, <font color="#666666">3 folds</font>.

Flop: ($4.75) 3[img]/images/graemlins/spade.gif[/img], 9[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $5</font>, CO calls $5.

Turn: ($14.75) 8[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, CO checks.

River: ($14.75) 2[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $10</font>