Stars $11r Hand: QQ UTG vs. BB

[Lloyd]

I'm really at a lost on this hand. The BB had been pretty loose seeing about a little over a quarter of the flops.

PokerStars No-Limit Hold'em Tourney, Big Blind is t400 (9 handed) internettexasholdem.com

MP3 (t29845)
CO (t30050)
Button (t11735)
SB (t3135)
BB (t13300)
UTG (t14065)
Hero (t13270)
MP1 (t11225)
MP2 (t11125)

Preflop: Hero is UTG+1 with Q[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/spade.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to t1200</font>, <font color="#666666">6 folds</font>, BB calls t800.

Flop: (t2200) K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets t800</font>, <font color="#CC3333">BB raises to t3600</font>, Hero ???

I certainly think I've got the best hand on the flop, at least before the check-raise. I made a small bet on the flop for value thinking a smaller pair would call me. I also thought that it could be seen as weak and get played back on. So I wasn't completely surprised when he raised. I'm just not sure what my line is here.