If UTG isn't a nit, squezze is ok. I would use different sizing, something like $0.60.
I think UTG could have AJ+, pockets, broadways. MP1 could have pockets too and strong aces. I would cbet this board with intention to second barrel any

or overcard on turn to make pockets fold.
When hero checked the flop, giving up is fine. We can't call turn bet. We don't have odds and implieds too, because I expect villain to c/f anything expect Q

Qx.