Well if the guy is putting you on a hand he has a pretty small range for you after the pf action. The A on the flop is likely to have hit him and more importantly KK-QQ would hate it. So, if he is capable of thinking it through and sensing weakness, try to play it like KK and encourage him to push you out.

If you fire all guns he'll correctly guess your hand from the narrow range your pf 4-bet indicates. This will cause him to play correctly against you.