I live in a neighbourhood where every other house has at least one retriever/hound/terrier. A call would set of everything within a mile.

Leg Traps were banned in this state a few years back w/o a 'special' permit.
I'm told Coyotes are too clever for cage traps.

Maybe I can rig up an oversized snare like on Road Runner. Use the coyote's own inventions against them. Maybe with 1/8th inch aircraft cable and a winch I can pull taught a 50' doug fir and rig up a bait snare that severs their spinal column at the 10th vertebrae, launching their upper torso skyward and leaving their hindquarters and thorax down on the ground still twitching.

It may be worth looking into.