James, I've payed a golf course with cattle on it... Dannebrog in Dannebrog, Nebraska, was there over the summer. It has sand greens that are fenced off with barbed wire, and no irrigation. Aside from the herd themselves and their pies they leave everywhere, there were also plenty of old bones and other cattle artifacts scattered around the 9 holes.... If there was ever a golf course to have cattle grazing, this is the one, there is nothing there they can destroy, and barely any visitors to bother them.
I dont particularly care for the idea.... But... If it was such a great idea, dont you think the supers at Sandhills, Dismal, Wild Horse, Prairie Club etc would have the out grazing? At the very least they could have them out during the winter months when the couse is closed for play, but NO they dont do that either.
There is nothing wrong with animals on a course, they dont bother me at all. I dont care for the ones that cause a lot of damage!