Unreal Tournament III

The "Big Game Hunter" award is earned for getting 15 kills with the Longbow AVRiL in a single match.

Suggested Setup
Gametype: Warfare
Map: Sinkhole
Mutators: Speed Freak, Weapon Replacement (All to Impact Hammer)

I found this to me the most annoying of the weapon award trophies to get, as like the Bio Rifle you can't have Weapon Replacement set to the Longbow, so you have to do this a different way. The best way I've found for this was to play Warfare on Sinkhole, as this map has 4 different places that the Longbow spawns, two in each teams base.

Right when the match starts run out of your base on the upper level to either side through the openings, there will be a Longbow on either side. Now head over into the other team's base and go up the elevator and the East side of their base. Right on the corner of the walkway there with be a Longbow spawn, with another on the exact opposite side of the base on the walkway above the Manta spawns. Run back and forth between these two spawns and take out the enemies as they run by. I found that the AI would break quite a bit when they only had Impact Hammers, so you'll get the occasional enemy who stands in place firing the hammer or doing nothing, making them easy to take out. You can also use the secondary fire of the Longbow to lock onto and Mantas or the Turret to take it out for a kill. After you get 15 kills and the award message (or 20 if you are doing this at the same time as Get a Life) pause and disconnect then start the game again. Repeat until you earn the trophy.