Why not 4-bet him pre-flop and get him in line, or raise his flop bet to do the same. You put yourself in guess mode while praying not to see an ace or a king on each street (or a heart). After the flop, there is only one card you are hoping to see on the turn Qc, not even the Qh. Your hand basically can't improve, so you need to bang his flop bet and find out the truth.