When W. C. Fields died, he stipulated in his will that $80,000 of his money (which was a lot more back then) be used to set up a private school for orphan white boys, where no religion of any sort was to be taught. The school would not have been accessible to black children, white children with parents, Indians, hispanics, asians, girls, etc. Had this come about, imagine the uproar it would have created. Fortunately, it never came about, and we didn't have to deal with the court challenges or anything of the sort.
For those who are glad that school never opened (as I am), you might be pleased to note that the 9th Court of Appeals recently ruled that a school operating only to educate Hawaiians in Hawaii amounted to racial discrimination and violated the Constitution.