ok, 222 rem counts but it became obsolete now in new rifles
fox weights up to 14 kg but 10 kg is more common. never have shoot a fox with 22 lr but other say its possible up to 50 meter - 50 meter is not a long distance at all.
coyote weigh the double of a fox and is hunted most times in very open areas. a .223 will allways do the job like our american friends will say and have maybe more bullet energy at 300 meter a 22lr will have on 50. take what you want 22mag or 17 hmr this are all toys against the .223 rem.