22-250 if you want to kill coyotes. My rifle with 50gr superformance ammo drops a little more than 5" at 300 yards. Within that, hold on fur, or along the spine and connect everytime. I've shot them out to 400 and a little hold over is easy
I went the custom 223 route shooting 75gr bullets, but they dropped like a cement block. If you didn't know the range accurately, hits were hard to come by. Coyotes don't always cooperate while you fumble with a range finder. I have a howa mini action 223 that I am still hanging onto for the kids to shoot though.
I still have the 1 223 and sold both my 204 rugers. Lighter bullets, especially at very high speeds will splash on a shoulder or leg hit and you get a run off coyote. Not all shots are perfect in the real world.
223 has the edge of cheaper ammo and components for sure, but lacks authority. I am in a pretty rural area, if I was farther north, I'd shoot them all with a .243.
If you are in gopher land, that might push a little towards the 223.