My guns pattern Winchester Varmint X 3" BB the best. Federal 2 3/4" #4 Buck the 2nd best. I haven't killed a coyote much over 35 yards with the Federal 2 3/4", the furthest I've killed a coyote with the Winchester Varmint X 3" BB was 63 yards.
Had to shoot it twice but my first shot took out its legs, all of them. I normally wouldn't try a shot that far with a shotgun but I had a bit of a dilemma on my hands. It had mange extremely bad. So I couldn't just let it get away. The second part of my dilemma was it was about to hit my wind and take off. I let it get as close as I could and it was on the verge of winding me when I shot. I decided to risk wasting ammo over letting one with mange get away. I don't like shooting at anything less than 45 yards with the shotgun if I don't have to.