Thanks, for more comments, everyone. These coyotes are clever devils.
Ole and Lena: Professional trappers in our general area, usually resort to leg-hold traps, which are forbidden in our development. The local USDA office can use big live traps to remove coyotes in our development, but they aren't very concerned over the ever-present varmints. The trapper/staff would have a full time job just trying to pick up a kazillion coyote live traps? We're pretty much on our own, to deal with Wiley.
Thanks, for the advice on the gravity door. Do you have any pics posted on BYC? I intend to have an automatic "guillotine-type" door on the coop itself, which will hopefully secure the chix within their home each night. My main concern remains with coop/run perimeter break-ins. If you can outwit a raccoon with your door, it must be foolproof (raccoons are NO FOOLS). We have never seen a raccoon in our present location, but we do get the occasional skunk. I kinda sunk myself with that statement?
Katbriar: (Howdy Neighbor!),...Your input, as a fellow "NM coyote owner" makes me feel more confident. The hardware cloth buried in the floor is a grand idea, not only for coyotes, but rats as well. Thanks very much, for offering wire size, and width of apron. This might be pretty pricey to do within an 8 x 32 foot run, AND a 2' extended apron surround. In addition to the rest of the expense of a nice-looking chicken setup. Like you, I at least have the benefit of a "barn", to add safety for the chicks, only one one/long side though. I am very confident that our determined coyotes WILL try to dig in. Our guys have proven to be quite persistent.
Centrarchid: Our wonderful Architectural Committee would never approve of highly-visible electrified poultry netting. I may be able to resort to a "less visually-intrusive" electric wire though? My horses are basically secured by an unobtrusive wire, as we have had loose dog problems in the past. Aggressors seen by us, and/or caught on Candid Camera. Oddly, the county animal control will pitch in, if "livestock" is involved (although this has not been a very practical solution either). Re, electric fencing... It would be more difficult to hide an electric wire on the outside of the chicken flight pen. We want to keep my future chicken establishment looking good, for the benefit of our "Judges", and fellow neighbors. We don't want to look like the Beverly Hillbillies (Dates Me!).
Looove, the thought of fitting all those coyotes with E-collars. Good one! Wanna play 'Catch' ?