I have shot 3 Coyotes in the last month with my 22-250. I am pushing 50 grain Hornady V-MAXs in a 1in14 inch twist barrel at 4,006 FPS. It is an absolute laser. I never have to muck with hold overs or wind out to 400 yards. I just put the cross hairs on the Coyote and it is DRT every time with that bullet. I can dial up to 600 yards with that bullet, no problem, so long as the animal does not move much.
The 22-250 is THE BEST round for Coyotes. They also work well for smaller varmints as well. I cannot think of a better cartridge based on personal experience.
And during the craziness, I have sourced bullets, powder, and brass in the last 30 days to last me years. Components for that cartridge a pretty easy to come by. I highly recommend the 22-250, you will not be disappointed.