There isn't, to my knowledge, a reliable listing of club histories. The USGA and others have large collections, but they have only a rough idea of what they don't have. And what they know they don't have are often older, rare, expensive books that don't come on the market often. (Some of the harder to find histories have taken on a mythic aura. The first history of Myopia Hunt (I've forgotten the author's name) come to mind. DM me if you happen to have a copy.
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The Library of Congress's collection benefits from the fact that the US Copyright Office operates there. To register a copyright on a book it is usually easiest to send a copy to the LC, get an ISBN number and the copyright is publicly registered. Commercial publishers will normally do that. (Note, registration notifies the world that an item is under copyright. Copyright and the bundle of right that go with it, at least in the US, arises when a book is written.) But even then the LC can't be sure about what books it doesn't have. Many are never registered.
Club histories fall into that crack. They are copyrighted 'naturally,' but, I would guess, relatively few of their copyrights are registered. Which why we can't look to the LC to have a complete listing of them in its catalog.
I am open to ideas how to get a handle on what club histories are out there. The only way I can think of to develop a reliable list would be for an organization (the USGA?) to appeal to clubs and golf associations for information on books written about their courses, with the request that, if available, that they send a copy of those books for the USGA library for preservation and use by researchers or other interested persons. That's not going to fill in all the gaps, but would be a start.
Bob