There have been many a coyote missed with a rifle with-in shotgun range!! Myself included. There's lots of guys that team up, one guy sits with a shotgun, the other with the rifle. Shotguns loaded with 3" 4 buck, that have been patterned well, are very effecetive out to 50 yards easily.
I'll be in a calling contest this weekend and the shotgun/rifle combo will be how we hunt.