In the meantime, while we wait for a miracle in Washington (not going to happen so long as people on welfare get $60k/yr in benefits, we have unionized government workforce, defense industry needs the war on terror, alphabet agencies need to justify their existence)....
I say let the ones who are bothered by the predators shoot them. Let the ones who don't mind them carry on. Killing every coyote that sets foot on the sheep farm is not going to result in their extermination. That 100 acres is surrounded by 300+ acres of corn and other grain fields with not a single residence in sight. Most of our home grown meat comes from massive feed lot operations. Very little land is used for free range livestock anymore, except by deliberate choice of the rancher with the full understanding of the economic impact of doing so. If it was up to me, feed lots would be outlawed, as would the caged poultry farms. If one wants to talk about cruelty on an industrial scale, there it is. The problem is that people like that cheap food and do not care about the wretched lives the animals lived.
The sheep on the farm may on average only live for a year and a half or 2, but they live the way sheep were intended to. The coyotes, until the moment they encounter a 95gr bullet at 3200fps, have also lived the way coyotes were intended to. Shooting at and killing the coyotes sends the accompanying coyotes the message that they are not welcome and they are fast learners. This is a never ending circle. The surrounding 300 acres will continue to produce replacements and particularly the older ones are ultimately attracted to the prospect of killing an abundant supply of incredibly stupid sheep. Then it is time for them to go.
When do-gooders step in and want all shooting outlawed, that is when these kind of businesses fail. When people finally realize there is a major problem, then it is OK to shoot them from helicopters or poison them on a massive scale, as long as the people doing the work wear a badge....