Have you contacted the golf course owners? Seems like they could be held liable for allowing predators to roam their grounds. They may be willing to share the costs of trapping, especially if you tell them they will pay for any injuries to you kids or pets.
That's what I would do, too. Kill it with my bare hands in front of the other coyotes. Rip it's heart out and eat it while they watched. I think they would get the hint.
