Often, a barrel will love either a boat tail sierra spt or a flat base, always check, the results can be amazing.
I just don't know how to sort out shooting long range coyotes with a short barrel 223. The best load that I have come up with for a 223 bolt gun is a heavy charge of Benchmark, cci 450, 53g Hornady V, or 55g Nosler at 3500, 24" bolt gun load only...would tear up any AR. This load is a solid 300 yd load for coyotes. Those 55g Nosler ballistic tips will not fail you, just like the Sierra 55 spt's or BTHP. I have not tried the above load with a Sierra bullet with the hot load of Benchmark.
I have unzipped quite a few coyotes in my life and I hate it every time. Shooting lobber loads is not for me, I want to kill them them outright. Probably no one hates a coyote worse than me after learning that a single pair brought in 22 dead fawns to a den.
If a hot 223 is not right for the area, then I go to a 22/250 AI with a 55g doing 4100, a 243 with an 80g doing 3400+, or a 6 AI with a 70g doing 4000.
Kill'em, don't wound them. My longest shot on a coyote kill is 450, killed 4 on a dead cow, 60g Berger out of a 6 Remington Shilen barrel on a Parker Hale Varmint with a MV of 4000, took 7 shots, cross wind was blowing the gunshot sounds away.
If I lived in the plains states, I would have two choices for a coyote rifle, a 22-243 AI with 80g or a 22-6 Remington AI with the 80g.