Largest/Large (Bear, Moose, Gator,, Deer, Elk, etc.)
Rolling Block or Carcano (preserves all of the above)
Medium/Medium Small (Fox, Coyote, etc.)
Choice of repeater or Normal Arrows
Small (Muskrat, Skunk, Armadillo, Gila Monster, etc.)
Varmint Rifle
Smallest (Frog, Snake, Crab, Squirrel, etc.)
Small Game Arrows
I haven't played in awhile but I know the Rolling Block/Carcano saves you a weapon slot if you want to have a loadout that preserves everything in the game. No need to use a normal rifle if you use a heavy rifle, as the lighter rifles are just unable to preserve stronger hides, while the heavy rifles are proper hunting rifles regardless of opinion, and won't ruin deer-sized pelts. I usually rock a shotgun for safety reasons, as I usually hunt with purpose, but you can swap your one-handed for sawed-offs if you still want the full hunting loadout and a panic weapon.