What do you do here? (PLO8 $400)

[niss]

Villain is an idiot. He plays any 4, and I mean, literally, any 4. He calls pre-flop raises with anything. He can be aggressive with any piece, and he can be aggressive with nothing but a sense of weakness on the part of the other player.

Stacks are $500.

I am the button with A-A-4-9 rainbow. I max pop it pre-flop to $14, only villain calls, so we're heads up.

Flop is J[img]/images/graemlins/club.gif[/img] 4[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/heart.gif[/img].

Villain checks. I bet pot (something like $40). Villain check-raises pot.

Hero?

I really was at a loss as to what to do here. On the one hand, my bottom two pair could very well be good. On the other hand, his range is so wide, that he could easily have hands that kill me.