IMO, if the guy is good at hand to hand, challenge him with fom ranged stuff, and if he is good at ranged distance, challenge him at hand to hand.
If you don't want to just shoot him because this may not be very interesting for the story... and after all what is the fun in a fight between "rocker-the-puncher" and "the-invisible-sniper"?
Gaz, of spray weapons are good weapons against "punchers". The character is close enougth to win the fight, but will have to overcome a challenge.
You can also use stun batons, tasers which have electrical damage (generating dice pools reductions...), combinated with surprise the attack pass the 16d dice pool of the character.