NL25 QQ 4b pot 3way 767 v

Hold'em No Limit - $0.10/$0.25 - 5 players

(UTG): $25.00 (100 bb)
(CO): $24.10 (96 bb) 40/16
Hero (BU): $36.55 (146 bb)
(SB): $29.60 (118 bb) 25/15/8 (40 hands)
(BB): $26.77 (107 bb)

Pre-Flop: ($0.35) Hero (Hero) is BTN with Q♣ Q♠
1 fold, a9d02d44 (CO) raises to $0.63, Hero (BU) 3-bets to $2.20, (SB) 4-bets to $4.70, 1 fold, (CO) calls $4.07, Hero (BU) calls $2.50

Flop: ($14.35) 7♥ 6♦ 7♦ (3 players)
(SB) checks, (CO) bets $7.18, Hero ?

Multitabling reg cold4bets then checks flop. Fish puts me in awkard spot with that bet. Most likely ahead of fish range. I think reg has AA-KK-AK-AQ-QQ-JJ here, leaning mostly toward AA-KK-AK.

Is it a cooler\standard if I get stacked here?
Is it better to call or to jam? Reg presumably folds JJ if I jam but maybe he continues if I just call? But if I just call then I give decent odds for AK to call.