Does it make sense to check back in this spot?
If I bet big here, I'll get called only with QQ, he can't have sets and 2 pairs here, and I think he would fold hands like AK, TT.
If I check, he can then try to bluff on the turn, he can also hit some top pair that is strong enough to go allin, also the pot is already big and my hand doesn't really need protection (only danger is a Q turn when he has QQ) so there's no rush to start building pot on the flop.
Betting small might also be good, like 1 third size or even less. It would force him to continue with hands like TT, AK, AQ. Maybe a better choice than a check, idk...