>>920965Hi OP,
I shoot rabbits in NZ (literally shoot 50 a day/night as pest control in summer).
There are rabbits that will never be shot because it is just their uncanny nature and rabbits you will never get unless you block up their warrens and magtox them.
I shoot the paddocks then I dog the paddocks for the ones that wouldnt be shot. I would imagine same thing goes for coyotes.
With that I will suggest you adopt a retired racing greyhound doing a benificial service to yourself and the dog, toilet training will be the first hurdle then recall. After you have trained your main dog adopt another and once you have 3 you should have a good pack for coursing coyotes. A pitbull x greyhound is also a good choice but may not be easily obtained.