JJ, Button, Level 2, $55 with horrible flop, and even worse turn

Ask yourself this is he more likely to try and put a move on you if you show strength preflop and on the flop, or If you only show strength preflop and then check behind on the flop. You sound like you are so worried that he is going to bluff you off of your hand that you are afraid to bet it but in not betting it he is only more likely to bluff you off it.