Not to deviate from the OPs question, but to clarify my opinion that coyotes receive more blame than they deserve, at least in the southeastern US relative to whitetails (this is the Whitetail Deer Hunting forum, right?): An equal root cause of decline is from several years ago when many who only partially understood QDM thought it was a great idea to have "doe blast" days where they would literally pile up 10-12 does on a 400 acre piece of property before the rut.
Some local populations can support that and benefit from it, but many whose properties could not were mis-informed about what that was going to do for them. Practices on a 10K acre ranch with year round feeders in Texas don't necessarily translate to a 500 acre property with marginal habitat and food surrounded by equal or smaller parcels with the same.