ms, unlike you, I do want dead coyote load. I just can't afford it.
That stuff is absurd.
I'm in MI too. Like you, I'm stuck with these idiotic regs now bc some bad apples were poaching deer. Oh well, what-a-ya-gonna do... BBs actually are pretty good, especially if you're in thick cover. I almost prefer them over buckshot in such situations. Just keep it under 50 yards. As for which Federal product, my guess is it won't make much difference. Choose the one that patterns best for you.
I'm going a different route here shortly. Picked up a 77/22 mag for night calling. I know, it isn't ideal. I would much rather have my .204 along for the job. Just have to pick your shots. Put the first one in the shoulder and take out the running gear, then sneak one between the ribs. The 40gr win JHP groups very well for me.
Good luck with them yotes.