The nice thing about Coyote Hunting is that you are not going thru 250 rds/day as you would on a PD shoot. Bottom line you won't smoke a 22-250 bbl going coyote hunting.
There is a romance attached to the 22-250 and 220 Swift, one can feel like they are king of the prairie when carrying one of them. They shoot fast, flat and hit with authority.
Yea the guys shooting the new 20's will say I shoot fast fast - I shoot fast too. And to a certian extent they are right.
I agree with those who have recomended the 223, they are a great utility grade rifle, and the ammo is significantly cheaper 2:1 or better. I use about 24 grs of Benchmark powder per load for my 223. These days when powder is over $20/lb that adds up, when powder was $12/lb I did not worry about it.
If you ever go on a PD shoot, most of the shooting will be 75 to 250 yds, there will be so many dogs that you will not spend alot of time on the 500-600 yd shots. But you will go thru a lot of ammo.
For the long range stuff, next time I am going to bring my 300 Rummy (30" bull bbl, blue printed, muzzle break and other goodies) and work on getting my 1,000yd shot.
For coyote hunting, you've had fast day of shooting if you go thru 15rds/day.