This question is one that I have pondered ever since watching dogging on television...seemed to me those dogs were larger than a coyote and didn't really care if the coyote was there or not. They would mostly just stare down the yote so the shooter got a nice standing shot, at whatever distance they encountered the coyote. It did seem as though the dogs just canvased the territory and eventually made it back to the owner. Now, those were my observations and may or may not have any basis in fact.

I considered what type of dog is aloof enough (yet not aggressive) to just stand and face a coyote without reacting much. Couldn't come up with a good answer. Then the issue of seasonality of dogging came up, so there was another factor to consider. So then I wondered if you could train a pig to do the same thing on a year round basis (seriously.) Then I wondered aloud if a rooster or a goat might be trained for such an endevor (we ALL had a good laugh over that thought.)

Then I decided that a female in heat would be a suitable choice (any time of year). Moreover, your neighbors yappy type dog that is rabbit sized, scared of its shadow, with short legs would probably provide the best standing shot opportunity...

All kidding aside, it would seem a difficult task to find the right dog(s) for the job and an even harder task to allow them to train themselves. If you figure it out let me know.