Find a Fold with QQ?

[BoxTree]

Commerce, 20/40 (9-handed, live)

Hero is SB with Q[img]/images/graemlins/club.gif[/img]Q[img]/images/graemlins/spade.gif[/img].

2 folds, <font color="red">MP1 raises</font>, 2 folds, <font color="red">CO 3-bets</font>, Button folds, <font color="red">Hero caps</font>, BB calls three, MP1 folds, CO calls.

Flop (<font color="blue">3 players, 14 sb</font>): 6[img]/images/graemlins/heart.gif[/img]5[img]/images/graemlins/spade.gif[/img]2[img]/images/graemlins/club.gif[/img]

Hero checks, BB checks, CO bets, <font color="red">Hero check-raises</font>, <font color="red">BB 3-bets</font>, CO folds, Hero...?

BB is a very good, reasonably tough, player who respects my play. The only non-pair hand with which he'd call my preflop cap is AKs. I highly doubt he'd see the flop with JJ. He'd certainly see it with AA-QQ.

I can't imagine he'd play like this with AKs since he expects me to go all the way to the river with AA-QQ (the CO was not noticeably aggressive -- I'd fold JJ/TT preflop here and I believe the BB knows this about my play).

I clearly need to call the flop 3-bet to try to spike a queen if nothing else.

I can't see a reason to 4-bet OOP here.

How to proceed?