I am not out in the field to waste my free time so I personally would not use a .22 mag. Like you said sure you can kill one with it but your looking at a 50/50 kill ratio especially past 100yds. Head or heart shots would definitely kill one but, they are sometimes tough to shoot standing still. Especially in the freezing cold with the wind blowing rain & snow in your face. There is alot of fat & fur on them but when you skin him out that kill zone isn't that big when you add in all the real world factors.
Those larger calibers may help you reclaim any marginal hit yotes. I've lost a few with the .223 that I thought were good hits(obviously not as good as I thought!). I usually use shooting sticks that help a lot but, in the real world you are prone to less than perfect hits sooner or later. I sometimes have to take a cleanup shot on a less than perfect hit. I have also have tracked plenty of them that were hit good for several hundred yds. Most of mine go down in a pretty reasonable distance but they are tough and have an extreme will to live. Come to think of it we all switched to 4 buck cause we were shooting them in the head & behind the shoulders at under 35yds with a 12ga (extra full turkey choke,3 in mag 4 shot winchester supreme) & had like 4 or 5 run offs. These were good shots out of patterned guns!
I don't like tracking them all over the place for two hours or dragging a mile when I could be calling in more coyotes somewhere else.They get 40-50lbs here! My largest is 43lbs & I have seen some 46 & 48lb yotes(berkley fish scale). To be perfectly honest I am planning on upgrading to a better more efficient caliber because I know that I am at the lower end of consistently effective calibers.
You should try the thin skinned bullets. The Vmax is one that seem everyone gets dead right there DRT hits. The Speer TNT also are good. the Sierra blitzking are similar, and the Nosler Ballistic tips, and not the normal ones, the varmint Ballistic tips only go up to 85 grains, and that is the 25 cal., they are slightly more sturdy than the other 3, but close.
I know from exp they work and expand and make a mess of things.
The Vmax wil pretty much blow up once it is inside a coyote, like a shrapnel grenade.
my Friend at work uses the 40 grain Vmax in his 22-250 at 3950 fps 22 in bbl, and ALL of them just die right there.
I use the 55;s at 3100 fps out of my 223 (yet to see a yote yet with it.), but the 40 grains vmax can be driven to 3700 fps from a 223.and 26 inch bbl.
I'm sure my 22" bbl can get 3550 fps. it is a NEF 223.
My Bolt guns are 25-06 115 Berger VLD 3200 fps, 90 Blitzking at 3560 fps
and 85 Bt's at 3700 fps, yet to load any of the 75 vmaxs I have yet.
Hope to get 3900 fps from it's 26 inch tube, hope the 10 twist will not over spin them too much... The 90 Blitzking at around 3500-3600 fps should drop any coyote even with a bad shot
my 300 win mag, I have some 110 vmaxs at 3400 fps, and have a new box of 125 TNT's top try. the 10 twist and 30 cal the Vmaxs never make it to target at max velocity.
The rifles I have are not perfect, but have potential for stopping power
if you want to save hides and kill them dead. can't beat the 22-250 or a high end loaed 223.with thr right bullets.
the extra velocity does seem to make the 22-250 explode the bullets more than a 223, but it is 300 fps difference, so it's 150 yards more.
The 243 and 6mm when loaded right is deadly 58 vmaxs at 3900 fps, 87 vmax at 3300 fps.. 3300 fps may not seem as good as 3800 fps, but it is almost 90 grains of lead, and the slash effect that some 22 cal get on coyotes with vmax's, will still break bones in the coyotes and kill them dead.