Depends on what you're trying to accomplish with your coyote hunting. Personally, I hunt coyotes to be a better big game hunter, so try to use a rifle which is configured close to what I use for deer/elk/antelope. I'm breaking in a new Savage 11FHNS .243 because I like the caliber for deer and antelope and because it is similar to the rifle I have always used for deer, which is an old Ruger Mark I .243. IMHO, Ruger ruined the rifle when they went to the Mark II. The old Ruger belongs to my folks, so I bought my own rifle. My hope is to someday buy an old Ruger Mark I short action, have my gunsmith rebarrel it for .243 Ackley Improved, 25" #3 Shilen barrel, 1:10 twist, with a Hogue OD Green stock, Timney trigger set for 2.5 lbs, matte blue finish, Leupold VX-7 3.5-14X50 long range scope in satin black, pivoting Harris bi-pod for sitting, 1 1/4" non-slip web sling, and a piece of thread taped to the barrel to watch the wind.
That's my ultimate rifle...