I want to get rid of some coyotes on my land. I have several Bridger #2 traps, but I cannot get up there to check them everyday. I am getting my truck soon, so I will be able to continue trapping. In the mean time I have resorted to shooting them. I am planning on hunting at night. My state allows only .22 lr's and a shotgun with shot no bigger than 6. I have an XXFull choke. Would a shotgun with #6 kill a coyote? How far away is this shot lethal to? Thanks