I'm surprised. Every SR game I've gotten into has always had at least 1 troll with an axe. That is their concept and their plan.
My last game had a Troll with a pole arm. When we wanted to break into a fortified luxury oceanfront property, he was tasked with providing the distraction so that two other players could sneak in the back and assassinate the target while security was distracted.
He got his bike, picked up a dustbin lid, braced his pole arm under one meaty arm and jousted at the front gate of the property. Ran straight into a razor wire fence gate, but hey, he certainly distracted the guards...
"Not trusting me might be the smartest decision you made since getting off of your horse."