Thanks for your replies up to now....I might not been clear on my post......was thinking of building a permanent drop cage trap....maybe like some ferral hog traps I've seen used on internet YouTube....was wondering if coyote would go under metal cage framework for bait...then trip and drop .......can't use foot hold or snares.....too many ferral and or stray cats and dogs....they're really getting comfortable and I'm afraid of being attacked. ..neighbor...now passed away......used to trap them and told me when you remove one or two it knocks them back a little. Seems like groundhog carcass not buried deep attracts them easily
Most of the feral hog drop cages I've seen on YouTube don't have a metal top or bottom. Keep in mind that coyotes can jump over fences, and that they can dig under fences. A coyote would have a good chance to escape that kind of trap, but maybe there are "coyote-proof" versions on the market or maybe you can modify it yourself to prevent jumping out or digging out.
Coyotes are wary of confined spaces but maybe one of those hog drop cages would be large enough that a coyote would enter. I've never tried it but maybe some of the coyote experts here have some thoughts on whether a coyote would take the bait.