I think you should push here, there's a chance you take it down right there, there's also a significant possibility he's an idiot and you have him totally pwned, at least in a SNG. Anyway, do you really mind losing this to AA?

Every single time I've had KK vs AA I've either paid it off for my stack or gotten lucky, and I don't mind a bit given all the times people have turned over QQ/JJ/TT/AK etc.