I think you need to consider slowing down on the turn. After you 3-bet the flop the button raised you again on the turn. What do you think he has that you have beat? Unless he is a complete maniac your top and bottom pair are no good here. If he was raising you with a big King on the flop he wouldn't have popped you again on the turn. K9, 99, 55, AK, maybe A9 are all possible here. You are probably drawing slim to dead.