As stated above, 22 mag is overkill on a trapline, as is the 17. When I ran trapline I carried a single action 22 pistol with shorts, and a Marlin model 60 with LR to pop skunks I'd let out of the traps, (livetraps only in Florida), after they'd got off from the trap a ways.
Magnums at close range are just going to blow holes in your pelts, be hard on your ears, and cost twice as much as Long Rifle or shorts. You can drop damm near anything with a 22 short, if you hit it right. When they're tied to a stake in the ground, they are't going to run very far or very fast.