I used my 7mm pretty much exclusively this past season for coyotes. There were a couple that were really messy, like gut shots with a 100gr HP. I used that Sierra Varminter 100gr for most of my kills (before I really understood the difference between .2 and .6 BC at 400yds) This year I'm going to use heavier hunting load. Much better for long range shots, and not nearly as explosive as match or varmint loads. I'm waiting to try out some 168gr bergers on a pup!
Also, most of my kills were no bloodier than my buddy's with his .243 (80gr NBT). And I didn't have any runners, he did.
I also have a new Remington 5R I want to try coyotes with this year. I think the 155gr scenar will do nicely!
The last time I went coyote hunting I took my 7mm mag because I had plenty of ammo loaded for it and had recently confirmed zero. Didn't help, I missed the yote any way! Must remember to put the scope on the correct power setting when using a ballistic reticle for hold over. Dang it!
I don't save the hides, just the tails so I don't worry about big holes.
If you use the point blank range of your bullet load you won't have to worry about hold over. this will keep you shooting inside a 6 inch circle to that point