I have a Weaver K6 that spent three years sitting on top of my elk rifle (Winchester Md 70 in 300WSM). It now sits on my 45-70. In the situations that you mention, a fixed 6X will serve you perfectly.
That being said.....
I like a larger variable scope on my coyote rigs. My idea of a perfect coyote scope is a 4-16, with a fairly large objective. Where I hunt, you have an chance a close in coyotes, but more likely they will hang up at longer ranges, and you AINT going to get closer :?
I use a Springfield Armory 4-16X56 on my main coyote rifle. I set it on 4X and leave it unless I have one hang up waaaaay out there. Then I can dial it in.
No matter what you go with, use it a lot, and get good with it.
Good luck.