I agree , TRAP it, will solve the worry about shooting past it with bird shot?
plus depending where you live, it could be illegal to discharge a firearm near a trail, or residential like area?
don't know where you live or what the zoning is?

a single well places .22 shot will also end the game here, but watch your back drop there as well
tree's will stop things, but NO way to tell what shot will hit what tree and where, to say for sure HOW far bb's will travel?