Quote:
ORIGINAL: North Texan
I don't have a shotgun, so I have never used one myself. That's what they use when shooting them from helicopters.
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Um this is totally untrue in my experience. We use rifles. I don't know of anyone using shotty from a chopper. Perhaps in TX?
Anyway onto the problem at hand:
My first preference would be to trap them using snares or leg hold traps. A #3 leg hold would probably work. I don't have time to explain a coyote set right now but have you considered traps?
I would get a basic rabbit squealer (if there are rabbits on the property, i'm sure there are) and maybe get a rabbit decoy. Sit up in a tree to keep your scent off the ground and call, or hide well on the ground and use a cover scent. Also a coyote howler can work to locate them.
If the property is really brushy and your shots are going to be under 40 yards I would go with your shotty and use buckshot or #2 shot. I probably wouldn't go much smaller than that for shot size but I have shot a coyote with a 20 ga. using #6 shot and he died fast. It was pretty close though like 10 yrds. At that distance pretty much anything will work.
If the property is not brushy and shots beyond 40 yrds are likely I would use a .22 mag preferably. Just make sure you have a good backstop and are not shooting toward houses or people/pets etc. I don't know what the area is like so I don't want to say one thing or another for certain.
Ideally, you could use something like I have: A savage 12 ga./.223 over under. So you have both depending on the situation.