Double gutter gets there, I think villain really has a hand

"his flop minraise means that he has a monster. Your play?"

If monster means Aces up or a set, push the river.
That 2 doesn't look scary so I don't think he'll fold those hands.
Or you could check and have him bet something like 8 bucks and then raise, but personaly I like an overbet on the river.
A small river bet might only get called by a passive player.