I've owned my Ruger M77 Hornet for over 10 years and have killed many a coyote with it. I have settled on a 45gr Barnes XLC over 13.0gr Lilgun, ignited by a small pistol primer. I get just over 2,900fps and MOA. For coyotes, I found the heavier bullet, 45gr or more, works better.
My personal distance restrictions, which apply to me and coyotes, are 100yds if they are facing me and 175yds if they are broadside. I have been known to stretch, but not by much.
Good luck with it!