Turn decision with top set

[tansoku]

UTG is 39/9.7/.6 over 100 hands and has consistently cold called many raises pflop.
SB is 23/19/2.4 over 113 hands.
Button has only been around a 1 orbit, but can't seem to find the fold button once in a hand.

Party Poker 3.00/6.00 Hold'em <font color="#0000FF">(6 handed)</font> link

Preflop: Hero is CO with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/diamond.gif[/img].
UTG calls, <font color="#666666">1 folds</font>, <font color="#CC3333">Hero raises</font>, Button calls, <font color="#CC3333">SB 3-bets</font>, <font color="#666666">1 folds</font>, UTG calls, <font color="#CC3333">Hero caps</font>, Button calls, SB calls, UTG calls.

Flop: (17.00 SB) Q[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, UTG checks, <font color="#CC3333">Hero bets</font>, Button calls, <font color="#CC3333">SB raises</font>, UTG calls, <font color="#CC3333">Hero 3-bets</font>, Button calls, SB calls, UTG calls.

Turn: (14.50 BB) 9[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, UTG checks, <font color="#CC3333">Hero bets</font>, Button calls, SB folds, <font color="#CC3333">UTG raises</font>, <font color="#CC3333">Hero ...?</font>

Here's where it got ugly. I'm like 90% certain UTG has JT here. I also think Button will not fold here no matter what.

I figured I had about 9 outs to the nuts, and UTG would cap it with the str8. If I hit my hand I'd get at least 2 bets from UTG on the river (couldn't tell if he'd go 4 bets with a str8 on a paired board).

Is a 3bet better than a call here?