100NL: AA HU and flush board - difficult spot

[jimmy44]

Poker Room skin
No Limit Holdem Ring game
Blinds: $0.50/$1
9 players
Seat 1: UTG ($98.50 in chips)
Seat 2: UTG+1 ($76.00 in chips)
Seat 3: MP1 ($95.00 in chips)
Seat 4: MP2 ($91.00 in chips)
Seat 5: MP3 ($70.50 in chips)
Seat 6: CO ($86.80 in chips)
Seat 8: BU ($252.95 in chips)
Seat 9: SB ($91.30 in chips)
Seat 10: Hero [ AH,AC ] ($122.70 in chips)
Converter

Pre-flop: (9 players) Hero is BB with A A
2 folds, MP1 raises to $4, MP2 folds, MP3 calls, 3 folds, Hero raises to $14, MP1 calls, MP3 folds.

Flop: J 2 Q ($32.5, 2 players)
Hero bets $20, MP1 raises all-in $80, Hero ???

Villain was 22/11/2 (flop AF: 1.3), no specific reads.
What can you put villain on here?
We need to call $60 into a $132 pot, we're having 2.2-1, so we need to have 32% equity here.
If we put the following ranges:
KdKx, AdAx, AdKd, Td9d, QQ, JJ we're like 25% to will. But if we add a hand like TT into this range (to count as a bluff possibility) we have 39% equity.
Would you call here?

[pokerfan]

bet around $26-28 and fold to his shove. 2.2: 1 pot odds was no good if he had you beat badly here. You are winning 55% at best not to mention JJ, QQ is definitely on his calling range in this 3 bet pot.