They could sell a DVD with just the animated Br'er Rabbit bits of the movie, although it would be a bit short. IIRC, until circa 1970 they were still releasing the movie to theaters every few years and to promote these releases they showed the cartoons on the Wonderful World of Disney TV show.
Disney probably has a "don't go there" attitude to the whole Song of the South thing, but if they wanted to they could commercialize Splash Mountain more if they dealt with the controversies in a forthright manner. Then again the sales of ride photos alone probably pay for the entire capital and operating costs of the ride, so why take a chance on messing up a good thing?