When checking traps, I use my Ruger Single Six .22 LR.
On nice calm days early in the season when the coyotes are not call shy, I use a .204 ruger.
On calm days when we have a good call location, I use an AR in .223.
On calm days when the dogs are a bit more weary and the shots are further, I use my .220 Swift.
On windy days I use my .270 or .30-06!
All guns are good for coyotes!