I'll be curious to hear how that extra full works out with buckshot. I would actually think you'd want a more open choke for better patterns with big shot like that, especially the 00. I would suggest if the extra full doesn't pattern well, try the improved cylinder and the modified and see how they do. In fact you might want to start with the more open choke and work your way up. I knoq I got 90% patterns at 30 yards with T shot, with an improved cylinder choke out of my 870. But that is steel shot so that may be different.
Anyway, looks like you got the perfect shotgun for coyotes. I use a Browning turkey gun for coyotes and it works well with the camo finish and the 24 inch barrel.