25nl - Villain cold calls 3 bet, flop Q high. Go broke with AA?

[badatmath]

I think KK would 4-bet preflop, and Q would scare JJ or worse. Should I have just called turn?

PokerStars No-Limit Hold'em, $0.25 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

UTG ($23.30)
UTG+1 ($24.75)
MP1 ($22.90)
MP2 ($32.30)
MP3 ($21.65)
CO ($25)
Button ($30.40)
SB ($25.35)
Hero ($25)

Preflop: Hero is BB with A[img]/images/graemlins/heart.gif[/img], A[img]/images/graemlins/club.gif[/img].
<font color="#666666">2 folds</font>, MP1 calls $0.25, <font color="#666666">4 folds</font>, <font color="#CC3333">SB raises to $1.25</font>, <font color="#CC3333">Hero raises to $3.75</font>, MP1 folds, SB calls $2.50.

Flop: ($7.75) 3[img]/images/graemlins/club.gif[/img], 4[img]/images/graemlins/spade.gif[/img], Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, Hero checks.

Turn: ($7.75) 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">SB bets $4</font>, <font color="#CC3333">Hero raises to $12</font>, <font color="#CC3333">SB raises to $21.6</font>, Hero calls $9.25 (All-In).

River: ($50.25) 8[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

Final Pot: $50.25

Results in white below: <font color="#FFFFFF">
SB has Qs Qd (three of a kind, queens).
Hero has Ah Ac (one pair, aces).
Outcome: SB wins $50.60. </font>