[Rockatansky]

I think here I'd check-raise the flop. You know a continuation bet is coming. If you lead out and he has A-K or A-Q (and I think A-Q, at least suited, is in his range), then he's definitely folding. If you check, then you'll get at least one bet out of him.

Once you check-raise the flop, he may fold his overpair, but, given his aggression, I think there's a decent chance that he will put you on top pair, an under pair, or a bluff. In that case, he will three-bet you (but will probably shut it down after that).