I know a lot of these plantation museums from my time in Mississippi and I've never heard of one where you could stay overnight -- perhaps they exist, but museums rarely want people walking around in their artifacts.
But the direct comparison is that these plantation museums are "
antebellum homes" -- meaning they were there
before the Civil War and as such represent a snapshot of at least a part of antebellum life, including where the slave quarters were, including whatever opulence derived from their labor in those times.
That's quite different from latter-day Confederate monuments which were put up decades
after the War for the purpose of sanitizing the Confederacy by the
Cult of the Lost Cause, primarily by the United Daughters of the Confederacy, the entire purpose of which was to
revise the whole history, starting in effect with the novel "The Clansman" in 1905 which begat a play, which begat a movie, which begat the re-formation of the defunct Ku Klux Klan, which fueled and thrived off the most racist period of this nation's history from Jim Crow laws to race riots.
So the plantation buildings are actual literal history, while the monument craze of the early 20th century was a blatant attempt to revise and whitewash that same history. They've been sitting there a long time without being recognized for what they actually are ---- idols of a cult. Propaganda transmitters. That's in no way comparable to the museums.