Herding is a job. You can find pretty decent pay to wander blm lands and keep an eye on herds of goats. Mutant fest in 2006 or 7 or so, we showed up at the previously scouted place (I was there with the first buses arriving), and there was 2000 goats (that werent there 2 days before). The whole place was covered in shit flies. But yeah, one guy with a little tiny pick up and canopy for living in was there to watch them.
Other than that, I have met one traveler who had a goat. he was walking everywhere he went, so it didnt impede him much. The coolest thing I heard from him was that his goat would eat poison oak, and then when he drank the milk he wouldnt be allergic to it anymore. Dunno if its true, guy was nuts for sure. He told me he had walked there from mexico. I met him at the hot springs in Big Sur.
But, I am a farmer, and have spent quite some time working with animals, and goats are not really good animals to have alone. If you decide to have goats, should have a herd, its better for them.