Q. Is there a family or non-gendered restroom on campus?

Yes!

1. On the first floor of Building 12 near the Leo's Lair atrium, across the hall from the Division 1 office hallway. (B12.129)
2. One is next to the Admissions office on the second floor (NRB).
3. There is also one in the Commons Building (CB) between The Cafe and The Den.