I would raise the flop here because he will cbet anything on this board, and we're vulnerable to overcards on later streets. Fold to a shove over since 4x isn't in his range for raising pre and really I can't see him shoving PP's below the Jacks down our throats either, so we are really more than likely crushed if he shoves over.
Edit - As played I can't see that we're good often enough to call with no other reads.