All dorms are mixed gender.
The Quad is closest to classes. Hall, Cary, Barton, Bray, Crockett, and Nason follow closely in that order (they’re all within about 100 yards of one another). BARH would be the farthest.
Quad and Barton are the only ones for freshmen that have non-communal bathrooms.
So, it sounds like you want to live in Quad… but do some of your own research. I’m not a match-making service.