The 22-250 is good on coyotes but i wouldn't give it an 880yd round. Maybe 400yds. The reason why I'd only give it only a 400yd rating is because of barrel twist rate and bullet weight. Most factory barrels are a pretty slow twist. Now if you were to get a decent twist rate, 7.5 and stick an 80grn berger in it, you'll give it a little more room to move. The increased bc on the heavy bullet is where it's at.
I'm only shooting a 50grn nosler BT at 3500fps in a 12 twist. 26" barrel. It does great on fur if that's what your asking, but i definitely wouldn't push it to far. If you want to push it, move up to a 243 and a bigger bullet.
It's the wind that'll get ya with the 22-250, on calm days we've shot them out to 800 yards and minute of coyote but it does not take much wind and your SOL, a 243 shines a bit more for long range coyotes.
"Pain is weakness leaving your body"
I think the 22-250 Caliber would do just fine and it's going to reach out further than the smaller Caliber Rifles plus if You go with a 55-60 or heavier bullet it would do fine in moderate wind,Your not going to call or see many Coyotes if the winds a constant 25+ MPH any way!
I was thinking about getting a Ruger American in the .22-250 also and going with a 55 grain Hornady V-max bullet or heavier?I'm currently using 2 different Rifles and they do just fine at putting down the Coyotes and other Predators with light fur/hide damage.I'm using a CZ model 527 "Varmint" in a .204 using 39 grain Sierra Blitz Kings and a Savage Axis XP Camo .223 with Hornady 55 grain V-max bullets.
I realize the 22-250 has a lot more "OOMPH" than my .223/5.56 and it would mean getting another set of reloading dies but that's no big expense.
After considering it I feel that the .243 Win. is just too close to my .308 to make it worth while. So 22-250 seems a perfect round for what I have in mind plus some gopher hunting.
If I want to shoot 'yotes at REALLY long distances or in winds above 10 mph. I can always use Berger 230 gr. Hybrid Match bullets in my .300 Win mag HS Precision competition rifle. That bullet will not expand but will kill them with the shock.
"There are no comfortable packs, only packs that are less uncomfortable than others."