100NL live: AA in SB

[Russ M.]

Playing some 100NL (2/2 blinds) live tonight. Had some huge hands and was up to over $400 when the following came up:

Couple of limpers, shortie goes all-in for $18. Crazy drunk guy to my right on the button min-raises to $36. This guy was just a crazy idiot, making tons of donk raises to $4 and $5 and often cold called raises preflop blind. He has about $400 behind as well. I look down at AA in the SB. I really do not want to take my hand OOP against him as he could have any two at this point, although even the drunk fools can wake up with a big hand. If I let him in cheap, he may outflop me and I doubt I can get away from an overpair, especially against this guy. I've seen him only call small all-in raises with marginal holdings.

What's the optimal play here?