I didn't catch the fine print you posted earlier and can see where that would create some challenges. My bad. It sounds like the hunting stuff in Illinois is almost as messed up as CA.

Having said that, you said the actual limitation is "22 rimfire." That would include 22 mag which is a substantial step up from a 22LR and is coyote capable out to 100-125 yards. I don't know if that "22 rimfire" limitation would allow you to use the new Winchester .17 WSM or not but it's a rimfire cartridge and packs even more punch. These may not be your preferred cartridge (something in a centerfire .22 cartridge) but they do offer more capability than a 22 LR.