My main coyote rifle is a M700 VLS in 22-250. I have killed quite a few with the 50 gr BT but had 3 runners. In all cases, (same stand location on a bluff) I hit the point of the shoulder quartering on at ranges of 100-125 yds and the bullet must have never made it past the shoulder.
I tried the 60 gr PT since I found a load that would shoot in the 1:14 twist that was under .5" and shot this coyote at 80 yds head on. The little 60 gr PT entered the chest dead center and exited just below the vent.
Nosler changed the ogive and I can't get them to shot in my rifle.
I now use the 55 gr BT and it works really well on coyotes. Exits through the slats is about the size of a nickel.
Nosler sent me a box of the 35 gr BTLF (Ballistic Tip Lead Free) prior to the introduction of the bullet last year and I shot this coyote with it.
Sometimes I use a M700 Classic 257 Roberts. I took this coyote this past winter with a 110 gr AB at 140 yds.
Stay away from the big bones with the smaller calibers/lighter bullets and I don't think you will have many, if any runners.