I was going to mention my alma mater Rhodes, but I see from another thread you are already familiar with it. Rhodes is not a household name, but it is a terrific school. I got a nice scholarship to attend and a first rate education there. Rhodes has great law school and med school placement rates.
My daughter attends Rice. It may be more of what you are seeking in terms of diversity even though it is not a classic liberal arts school but is a small university in Houston. You might also like Emory which is on a beautiful campus in a lovely part of Atlanta.