Reality check, A coyote runs game for hours on end. So if a dog or dogs was to run a coyote for 2 hours and the coyote layed down? Coyote is wanting to breed or is a sick coyote. Now for most coyote hunters they try to get the dogs to chase the coyote to them. In some cases they will give chase and the hunters have to try and get a head of the dogs in order for the coyote to be even seen. So the hunterscan not walk or run to get ahead of the dogs as dogs do run faster. They would normally drive ahead and wait along side a road with their tracking device in hopes of seeing a coyote come out. So I would say you have a great imagination.