Coyote are kinda narrow small dogs, and 00buck may not work beyond 30 meters. If you hit them great, but the spread may be so big, that the Coyote may fit in the gaps or not get hit in a vital. Running a tight choke causes a pressure spike with big buckshot.
If you need to use a shotgun, I would run 4 buck through a full choke.
This will put 27 .24 caliber pellits out in a tight pattern; even more if you find 3 inch. For coy-dog, you will kill them out to 50 meters. Even though the pattern will be big, there will be enough pellits to fill it, and you will make an effective hit.