BTN: $71.95
SB: $50.18
BB: $18.50
Hero (UTG): $52.39
MP: $50.25
CO: $197.92

SB posts SB $0.25, BB posts BB $0.50

Pre Flop: (pot: $0.75) Hero has Qs Qh
Hero raises to $1.25, fold, CO raises to $3.00, BTN calls $3.00, fold, BB calls $2.50, Hero raises to $15.25, CO raises to $197.92 and is all-in, fold, fold, Hero calls $37.14 and is all-in

The 3bet was tiny, and there are additional 2 callers, so I think with QQ I can't just flat the 3bet. But after 4betting to $15, and facing a jam, I feel like in reality I'm pretty much always running into KK+ and AK, which makes QQ a bad hand to call off. I'd feel fine to stack off AK here, but with QQ I think it's close. Any thoughts?