If he has any light 4-bets you are in decent shape to call pre flop. This seems pretty reasonable given your description. Probably around 40% equity with position.
Bluffing the flop seems dumb since he would check boards he has crushed (AK, AA, KK). calling the flop and river seems mandatory given he has more AK than AA and KK.
Feels like this was just a set up that he played well to check on the flop.
Sucks.