If you do a google images search on"vanderbilt sororities" you will see groups of women – all white – except for one photo that is linked to an article entitled “What it’s like to be black in a white sorority at Vanderbilt”
Here’s a quote from the article: "When Simi first came to Vanderbilt, she said: “I have never seen a racial divide as intense and conspicuous as it is here. I realized that coming to this campus, I was expected to make a choice between my white friends and my black friends.”
https://thetab.com/us/vanderbilt/2016/02/19/black-girl-white-sorority-1260
In doing the same search for Duke, their sororities also seem quite racially segregated.
I think that Rice’s Residential College system and lack of Greek life would allow for a much more integrated student body.