Player immediately to my left is a maniac before the flop and on the flop but has a tendency to slow down once the turn comes out. Player 2 seats to my left has raised a couple draws on the flop and shown down the busted draw. Rest of the table is more or less SSHE standard.

I'm in the HJ with AA. 2 limps and I raise. Maniac 3-bets. Button, BB and limpers coldcall. I 4-bet, everyone calls.

Flop is 699r. 6 players. 12BB in the pot.
Checks around to me, I bet, the maniac raises, BTN re-raises, folds around to me.

There are 13.5BB in the pot now. Best-case scenario I coldcall and only have to call one bet on the turn and river which means I have to put in another 3BB to win about a 18BB pot.

The problem is the maniac is silly enough to bet the turn with a wide range, so I may be forced with calling 2 big bets to see a river. The maniac is also crazy enough to cap the flop with a wide range, so it could easily cost me 4 or 5BB to see a showdown. It also sucks that we're out of position to both villains. Lastly, just because I've seen the button raise a couple draws doesn't mean that 78 is exactly what he has here or that he's crazy enough to 3-bet a draw on a paired flop.

I'm honestly not sure what the correct decision is. I don't think this is a slam-dunk fur coat dilemma spot, this is a hard one.

Thoughts?

There’s no way I’m ditching aces on this flop.

This is closer to a 4 bet than a fold.

4 bets

never fold aces on the flop, ever, no matter how many bets it is to you.

You can just call the flop 3 bet and let the maniac cap. This will hide your range and give you some options on the turn. If the maniac bets the turn and the button raises I would call. If the maniac bets the turn and the button just calls, I would CR. If you think either the maniac and/or button might check the turn then just cap and lead. If you're not sure the maniac will cap the flop then you should cap. Notice that if you do just call the flop you will have underrept your hand which may embolden the button to raise lighter on the turn.

this is ok but OP has to be sure the maniac will bet the turn, ive been burned many times by not fastplaying OOP vs multiple players when turns are checked through.

I just call down

I am in "calling all bets" mode. It's a gross spot if you end up faced with two bets on the turn but I still think you probably need to call down unless it's something truly awful.

Way ahead / way behind spot .
Le them burn themselves by just calling down .
You entice more action vs maniac by playing passive and showing weakness .