Re: prairie coyote gun
Browninglover brings up a good point; the faster shooting light bullets will help when shooting at a moving dog.
I have both a 25-06 and a .243. The 243 has more bullet options if you reload. I've got a super accurate load using Superformance powder and Hornady 65grn VMax bullets. I'm going to try Superformance and 70grn Nosler ballistic tip varmint bullets next.
If you are looking at a 25-06, most come with a 1 in 10" twist which limits good accuacy to 87 grain bullets. My go-to 25-06 load is the Speer 87 TNT pushed by 56.0 grns of H4350. The bullets leave at 3400fps.
How far will you be shooting?
AR's for coyotes
25-06 M70 for coyotes
6.5-06 Remington Custom w/Leupold Mark IV 6.5-20 tactical setup
AR10 for mule deer
6.5-06 M700 for mule deer
338 Lapua Mag M700 for elk