I shoot a Rem 700 sps stainless, know three other guys that shoot this same load:
over book max load of Benchmark, 55g nosler ballistic tip, Lake City brass purchased new, cci 450(critical for accuracy), bullet seated .005 off the lands= 3500 fps. This is not an AR load!
In most 22 caliber rifles, excluding the 220 swift and 22/250 AI at 300 yards, if you hit a coyote behind the diaphragm, you will loose him...he will die eventually.
Since a pair of coyotes will kill up to 22 fawns a year, put a bullet in them best you can.
I sight my rifle in for 200 yards, and put a tad bit of daylight over their shoulder at 300, they usually flop. It is rare for me to have to take a shot that far out since I left Az. In Az, did a lot of hunting around a field that was being irrigated(flooded). The gophers would get up on the rows to avoid being drown. Coyotes had a nice day on the gophers, and I had a very nice day on the coyotes. Range estimation got critical on the coyotes to keep from shooting over the top of their back on the 223 or gut shooting them(low shots).
I had a blued sporter 700 barrel re chambered to 22/250 AI, and it was ungodly accurate and fast with the 55's topping out at 3900 with 45g of Win 760. I had permission from these large farms, and just let the coyotes lay as it was impossible to get to them. The farmers got the field hands to get the carcus out after the field dried up. I hope that all that read this post get to experience a good 22/250 AI sporter for use on coyotes, and with a 12T loaded with a 60g partition(3700 fps), you have all the deer rifle you will ever need...no kidding