3-way against a maniac

[PoBoy321]

The basic situation was, Party 10+1, it's down to 3 way and I have about a 2:1 chip lead over both of the other players. At this point, my stack is ~4000, the other 2 have ~2000 each, blinds are 200/400.

At this point, one player, we'll call him player A, goes nuts. All-in every hand. Calling raises with anything and pushing any flop. Finally, I pick up AK out of the blinds (I still had about a 2:1 chip lead over the maniac), open push out of the blinds and the maniac in the BB calls me with 73o, turns a 3, he now has a 2:1 chip lead over me and long story short, I bust out 3rd when i thought it should have been an easy $50.

Now my question is this. How are you supposed to play against this type of player? Not that I can really blame him because I often play like this when I'm in his shoes (although i usually pick a better spot than 73o to call an all-in), so what else can I do here? I have no fold equity and am guaranteed to have at least one all-in every hand. Should I just give up on skill, push my small edges and take the crapshoot when the blinds get this big?

Any suggestions?

EDIT: I just realized that this kind of sounds like a bad beat post, but I don't mean for it to. I'm genuinely curious how to play in these types of situations. With only 10BB left, I really don't have the wiggle room to pick my spots, so what kinds of hands should I be pushing here, what kinds of hands should I be calling pushes with.