10/25 flop decisoin

[theBruiser500]

Not sure if this one is interesting but I'll throw it out there. UTG folds, new guy raiess to $85 I pot it (UB) to $290 or whatever it is, BB calls other dude folds. I have 5.7k he covers. He is a little aggro, loose, overvalues his hands and skill evel is mediocre/weak. He checkss, what's my plan? In the hand I bet $550 and he raised $1250 on top of that.

I think the choices are bet/fold, check behind, bet 3 bet all in, calling seems kind of weird to me here. 3 bet is tempting but what sort of hands can he cold call with in the BB, JJ and QQ hands.