HNI Predator Hunting Tactics Sub-Forum Thread: Shotgun Loads & Chokes for Coyotes
Take a read through my post there.
Your Carlson's Coyote choke will pattern just fine with BB shot, but copper plated BB is a really bad choice for long range coyote hunting. Penetration with small shot - especially copper plated lead - is pathetic. If you want to put coyotes down, you'll need both high density and sufficient penetration.
I've killed hundreds of coyotes with shotguns, starting almost 25yrs ago. Saying that copper plated BB can work is much like recognizing that a 410 with #9 dove shot will kill a coyote at short ranges, but at 40yrds, the BB is not a good choice.