When I lived in Az, I hunted coyotes of my gaited horses. I would travel around the outskirts of housing developments, in the County, would be about mile to mile and a half from houses. I would usually run across coyotes, and would immediately turn and travel 500 yards in the direction that the coyotes had come from. Coyotes feel safer about the area they just traveled through. Coyotes never saw the man, they just saw the horse as long as tack was not clanking or people were talking.
I killed a lot of coyotes with this method as I was far away from roads in rough country. I hunted with a Ruger all stainless Boat paddle 22 mag rifle most of the time with Walmart's finest camo duct tape on the barrel. I tried all kinds of ammo, and this ruger is still very accurate shooting 1 1/4" in dead calm. I sighted in the rifle for 100 yards, which put me approximately 1" high at 50, and I aimed at the top of their backs at 150 or so.
After trying all the bullets that were then available, the Winchester 40g HP did the best job killing, and it is a true jacketed bullet. This rifle likes to be cleaned every 250 rounds or so. Most of my shots were between 75-125 and around 150 was as far as I could see in that type of terrain.
From my experience, any plastic tip bullet is not made to penetrate, and the Win Supreme is not a coyote bullet, not reliable to kill a ferrel cat from rapid expansion...accurate on ground squirrels and p. dogs.
The twist in my Ruger, Savage, Marlin, and Mauser 210 in 22 mag all killed well with this Winchester 40g HP, and all were very, very accurate. I had a Browning A bolt in 22 mag, but it was too pretty to put in a rifle scabbard on the side of a horse, so I sold it. That A bolt would shoot 1" groups and often better, but I could not stand the thought of a horse laying down and rolling on the rifle or rubbing up against trees or rocks with it.
I tried some 50g bullets, but jeez, what a lousy trajectory. Coyote hunting you don't have time to dial up your scope.
I found that the 40g Winchester would break spines, and break shoulders, which is a major issue for a hunter having a proper hunting bullet for these larger animals. I called in one lion, but did not have a good shot, it was a 3 second opportunity, then all I saw was his tail flicking like a pissed off house cat walking off in the brush. The tail looked like it was 5' long above the bushes. I tried every trick I knew to coax him back in, but he had seen enough.
Buy a case of 2000 of the 40g Win hp when you have the opportunity. I used a Leupold 4x12 with AO. The center of the thin duplex was zero'd at 100, and the thick part of the duplex was about 175...I never could remember to use that under the stress of hunting as multiples were very common. I hobbled up the horse, and just watched where he was looking to see where the coyotes were coming from, and if there were more.
If there is anything better than riding a great horse in new country while hunting coyotes with a very fine rifle, I have yet to find it.