Tom brings up an interesting subject, probably not germane to an architectural discussion board, and possibly painful.
In my experience (which is certainly not universal) golf courses sell for the traditional 1X revenue or 3-7X profits of any other business. With history of a privately owned course and a fairly remote location, there are no numbers to base a sale price, at least for the most logical buyers like large management firms.
When golf course sales were down, I did look into buying one or two. At least 5 years ago, the price would have been 1 year's revenue because the courses I looked at had no profits to multiply. (Typically, the good biz proposition ones aren't for sale.) And, to be honest, my offers (none accepted, but one was later bought by that Chinese conglomerate) reduced the revenue price by some obvious major capital improvements that had to be done right away.
As Tom says, it would make the most sense for someone to buy it also as their private course, perhaps initiating some of the plans mentioned to at least recoup ongoing maintenance costs.