Alright, it looks like people think I should have folded, but here's what I did, what happened, and why I did it.
Party Poker No-Limit Hold'em, $ BB (6 max, 5 handed)
converter
BB ($57.40)
Hero ($92)
MP ($45.60)
Button ($56.65)
SB ($121.60)
Preflop: Hero is UTG with K[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/diamond.gif[/img]. SB posts a blind of $0.25.
<font color="#CC3333">Hero raises to $2.5</font>, <font color="#666666">
3 folds</font>, BB calls $2.
Flop: ($5.25) 4[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $3</font>, <font color="#CC3333">Hero raises to $9</font>, BB calls $6.
Turn: ($23.25) 6[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $10</font>, <font color="#CC3333">Hero raises to $20</font>, BB folds.
Final Pot: $53.25
Results in white below: <font color="#FFFFFF">
No showdown. Hero wins $53.25. </font>
I decided to minraise the turn because I think that there was enough of a chance that villain was doing this with KJ, KT or KxX[img]/images/graemlins/heart.gif[/img] that my hand was good fairly often, and so I wanted to get this to showdown. I decided that minraising the [img]/images/graemlins/heart.gif[/img] on the turn would be the best way to do that because if villain had 2 pair or a set and I was on the draw, I just got there and he might go into check/call mode.
Another important factor that I considered were the stack sizes. After the minraise, villain had $25 left behind, which, even though I'd be getting terrific odds, was enough that I could lay it down to a push.