Well blue, that looks a whole bunch like a lot of hands I have sat thru lately... the fish betting on everything and going all in to steal the pot repeatedly. Matter of fact one got me so irritated yesterday I called him on it (knowing I shouldn't) and he got that last card to win... out I went.
In your case, I would fold, PO'd, but folded. You have a lovely AK but you have no guarantee you are going to get something else to help your community queens and Ace kicker... with his bet after the flop if he was a reasonable player you would have to assume he has a queen in the hole... with a fish and the RNG behavior of late, who knows? But that much of your stack might just cripple your chances to do justice to a more for-sure hand coming up, plus I just hate to take a chance on someone that plays like that getting hold of that big of a stack.

katt (the fish calling a fish a fish ha ha ha ha)