I say shoot 'em, but you will have to use something "stout". A couple years ago in South GA a guy shot one with a 9mm, bullet bounced off the critter and hit his mother-in-law sitting on the porch. I think you need more than a rimfire round.
.22 Long Rifle does a great job. Have killed hundreds in a 20 year period in northern Okeechobee, Co, Fla.