I love coyote hunting
so much I sold the family farm and moved to Arizona two years ago because I kept running out of coyotes to shoot at in Indiana.
For calling, I use a 17 Remington with a 27" Lilja barrel. I push 25 grain Bergers out the muzzle at 4,300 FPS. Sighted at 200 yards, at that speed, I can hold dead on a coyote out to 250 yards and only be 1.25" low. For calling coyotes, it's a rare coyote I can't entice inside of 250 yards with a couple of pup howls or squeals.
When I go looking for the longer coyotes, I go to the irrigation circles. my YP 1000 can't range the coyotes much past 400 yards, but it will range the wheels on the spigot, out to 7-800 yards. Having a spotter for coyotes is a big help, someone needs to see his reaction on impact to tell where he was hit. A coyote hit with a large bullet that passed though, can run a long ways. Hit low and drop one in the heart, and he will fold up 60-100 yards. But hit a little far back into the liver and he will hunch up at impact then line out and may run close to half a mile. Don't give up your search too quickly, hitting one may be the easiest part.