Definitely Barnard as it is an Ivy League school (undergraduate college of Columbia). Plus, you get great internships from being in NYC!
Also, @prezbucky at Barnard you don’t JUST take classes at Columbia. Barnard women also get degrees from Columbia, graduate at Columbia graduation, join as many and any clubs/ sports teams/ sororities / societies at Columbia. Also, all the libraries, academic buildings, and cafeterias are open to Barnard women and vice versa to students at Columbia. Your understanding of the other colleges were great though 