AK against maniac w/ good draws ($4NL micros)

I was playing against a total crazy maniac (50/25/2.5) over about 100 hands and had seen him just dumping chip & rebuying like a real (drunk?) idiot. I wanted in. Here's how it went.....

Merge, $0.02/$0.04 No Limit Hold'em Cash, 8 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

BTN: $3.94 (98.5 bb)
SB: $2 (50 bb)
Hero (BB): $4 (100 bb)
UTG+2: $3.76 (94 bb)
MP1: $3.70 (92.5 bb)
MP2: $6.71 (167.8 bb)
MP3: $4.42 (110.5 bb)
CO: $11.43 (285.8 bb)

Preflop: Hero is BB with A K
3 folds, MP3 raises to $0.14, 3 folds, Hero raises to $0.44, MP3 calls $0.30

Flop: ($0.90) 5 3 Q (2 players)
Hero checks, MP3 bets $0.90, Hero calls $0.90

This maniac would have bet on just about any flop, so a wet one like this didn't necessarily scare bc of my K. My A is a blocker against some of his Ax hands ... but am I saying? There's no point of trying to put him on a range. He could have QQ just as easily as 89 and will bet like he's got the nuts w/ whatever. Knowing it's is coming, perhaps unwisely, I call the large bet.

Turn: ($2.70) J (2 players)
Hero checks, MP3 bets $3.08 and is all-in, Hero ... ???

Ok, this is nice I think; I have a near nut flush and an inside straight draw. My Ace might not be good if he's got like AQ or AJ or waaaay worse. This very well could be an 18 outer (FD + ISD + Overs), but even w/out some of them, there are still a lot of cards that can crush his possibly junk hand.

One problem though, my stack is getting short and he shoves (for like the 10th time in the last half hour). It's almost exactly 2:1 pot odds to call. What do I do? Am I stoopid for getting this far into this mess?