I killed a decent size lynx with one at 50yds using winchester copper plated hollow points, standard velocity ammo. dropping it in its tracks with one shot in the heart/lung area. in fact it was a complete pass through and next time i will use all lead ammo for better expansion. i dont know why people think 22lr is incapable of killing. Im from Uruguay and they use it for wild boar and many other types of large bodied game. in south america its one of the more widely used hunting cartridges and they use it for capybara, nutria, wildboar, and even pampas deer. are there better options? sure. but if .22lr is all you have it will kill. i dont see why a coyote wouldnt die quickly within 125yds with a well placed shot. they arent bullet proof.
theres a video on youtube of a guy shooting ballistic gel with a .22lr at 300yds and he got almost 12 inches of penetration, the downside was almost no expansion and of course the rainbow like trajectory. as long as you know the limits of .22lr and play within them you will be fine. 125yds is probably max distance for most game. longest shot i ever made was on a hare at 125ys. held my sights over the ears and hit him in the chest.