someone lets me hang myself

Moments after listening to David Williams talk about how he is less likely now to 3-bet AA, this happens to me...

Full Tilt Poker Game #20555219453: $42,000 Guarantee (157799791), Table 30 - 200/400 Ante 50 - No Limit Hold'em - 16:22:49 ET - 2010/05/03
Seat 1: columbo (12,560)
Seat 2: grenat_mtp (20,189)
Seat 3: VACATIONBABE (7,104)
Seat 4: ruthless1988 (10,680)
Seat 5: Gazaramataz (10,570)
Seat 7: Zolee21 (8,541)
Seat 8: timur valiev (27,338)
Seat 9: Mojomoj1 (9,527)
antes 50
ruthless1988 posts the small blind of 200
Gazaramataz posts the big blind of 400
The button is in seat #3
*** HOLE CARDS ***
Dealt to columbo [Qc Qh]
Zolee21 raises to 800
macblack0 sits down
timur valiev folds
Mojomoj1 folds
columbo has 15 seconds left to act
columbo raises to 2,000
grenat_mtp folds
VACATIONBABE folds
ruthless1988 folds
Gazaramataz folds
Zolee21 has 15 seconds left to act
Zolee21 calls 1,200
*** FLOP *** [9c 7s 8h]
Zolee21 checks
columbo bets 10,510, and is all in
Zolee21 calls 6,491, and is all in
columbo shows [Qc Qh]
Zolee21 shows [Ac Ad]
Uncalled bet of 4,019 returned to columbo
*** TURN *** [9c 7s 8h] [Ks]
*** RIVER *** [9c 7s 8h Ks] [6c]
columbo shows a pair of Queens
Zolee21 shows a pair of Aces
Zolee21 wins the pot (17,982) with a pair of Aces

Notice how the villain CALLS the $1200 and gets the perfect storm flop.   No one giving free cards here, and I am stuck holding a big overpair, which looks good, but is beat. 

I don't see how with $4500 in their pre-flop, I am not going to get here after he checks.  So I bet what $3500 and then fold to another $3k getting 4:1?  Not likely.  I think I am stuck here.  Do you?