Your mentor is a spewmonkey if he suggested that setmining/cf is a viable line. You aren't deep enough to setmine and it's an automatic -ev play to do so. Folding is at least neutral 0 ev and you should make your decision preflop.

It's all up to your read on his range of 4 bet. If it really can't be anything but KK-AA you can lay it down preflop. If he's a solid player capable of 4betting AK, or QQ-TT like this then you can't get away. C/r allin is the best line for getting your money in because he's going to make a bet at the pot almost every single time whether it's QQ or AK, or AA. You won't fold your KK except on terrible boards. This board of rainbow blanks is easy allin if you called preflop. Well played, bad luck, and sorry about the cooler KK vs. AA.

EDIT: cleaned up the post a bit.