You are likely to find some racial issues at all colleges where the majority of the student body is upper middle class simply because of the housing segregation that exists in many parts of the country. Many students are legitimately ignorant because they live in homogeneous communities and go to homogeneous schools. Although I support the Greek system for building leadership, it is an unfortunate fact that Greek life often leads to more segregation as people try to associate with folks “like” themselves. A good number of fraternities and sororities have overcome this barrier and those can be excellent places to be. My D2 was in very integrated sorority chapter at her school and was quite active in promoting diversity. However, even at her school she was amazed by the ignorance of some folks, and there were issues.
I think schools like Rice and other schools where Greek life is deemphasized will probably have fewer issues, but be aware that the whole country has a long way to go in this area, and the rise of white nationalism is not helpful.
There is a group I’m familiar with called Dialogues On Diversity that puts on performances, such as the Black-Jew Dialogues - at universities and colleges around the country in order to promote dialogues on diversity. I saw Black-Jew Dialogues about 9 years ago and it was hilarious. They are still plugging away today though are refreshing the jokes. There are some clips on youtube.