with bb's, I have had great luck with extra full and various turkey chokes. Federal 3" BB, buffered copper plated worked well for 40 yards.
No doubt that the dead coyote T shot would be superior.
Don't assume anything, pattern your shot gun at different ranges, news paper with a paper plate on it stapled to a piece of plywood will suffice. Try and use a support when load testing to check point of aim vs point of impact.
Dessert Ram's quote:
"I say try Hornady Coyote in BB, though my experience is limited to the one coyote I shot at 54 yards using a standard modified choke - tipped her over stone dead without a twitch."
very, very lucky shot with a modified choke. 54 yards is a poke.