I'm kinda glad to see someone actually say they've had coyotes rip right through hardware cloth like it was nothing, becasue I've wondered about that in a lot os posts on these boards, the assumption that hardware cloth is sufficient against larger predators like coyotes or even dogs. In my own experience, is simply isn't.
I've seen even medium sized dogs rip through hardware cloth...better than chicken netting, yes, but not dog or coyote proof.
I also used to raise a good number of rabbits, where hardware cloth was the standard for caging, and it simply did not stop dogs, they'd rip right through it. I learned to rely only on chain-link fencing for dogs or coyotes, at least as a perimeter fence surrounding areas where hardware cloth was used for caging. I usually used 5 or 6 ft chain-link, not always mounted on 'traditional' pipe posts and toprails as for standard yard fencing, because of costs. Instead, usually treated wood posts with either a top and bottom treated lumber rail, or strong heavy guage wire interwoven through the links top and bottom and pulled tight and tied/stapled to the posts. A few times, I had to re-inforce even that with an electric wire near the top, to stop climbing predators, like cats, both domestic, and wild bobcats..and I think racoons can climb pretty well, too, as well as an electric wire 5-6" from the bottom, to stip smaller predators such as weasels or mink, that might be able to get through the chain link openings.
the very best I ever had was a yard where I used treated wood posts, attached first a 36" wide band of 1/2" hardware cloth all around the lower part, then installed the chainlink right over that....had 'em stopped big or small. Sounds like a lot of work and expense, but that set-up served me well for nearly 12 yrs, until we moved from there.