Fold preflop to the 3-bet. No one 3-bets at microstakes without a huge hand, so they almost never fold to 4-bets (which is where your profit 4-betting with AK comes from).
If you don't fold preflop, then just 4-bet and call it off. AK likes to see all 5 cards, and you're going to miss the flop more often than not. So 4-bet pre, and maybe he can convince himself to fold jacks, or something that's ahead of you.
Calling, and playing a reverse implied odds
pot (win little when you win, lose a lot when you lose) isn't that great of an option.