Playing Scared With KK

[UOPokerPlayer]

Player is solid, no relevant stats. I try not to worry about blowing out draws heads up and more about getting value. His hand screams AA or he's just pulling my leg; hence my passive line. I don't want the Ace of clubs seeing a free river, but I'm probably folding to a raise there. I'm pretty lost in this hand.

Party Poker No-Limit Hold'em, $ BB (6 max, 6 handed) converter

CO ($338.25)
Hero ($188)
SB ($34.28)
BB ($112.56)
UTG ($80)
MP ($193.70)

Preflop: Hero is Button with K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/diamond.gif[/img]. SB posts a blind of $1. UTG posts a blind of $2.
UTG (poster) checks, <font color="#666666">1 fold</font>, CO calls $2, <font color="#CC3333">Hero raises to $10</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">BB raises to $16</font>, UTG folds, CO folds, Hero calls $8.

Flop: ($41) J[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/heart.gif[/img], 2[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $15</font>, Hero calls $15.

Turn: ($71) Q[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $80