Not a dance parent but found this list and double checked a few, and auditions don’t seem required.
So it might be a list to look through on the actual college websites.
Obviously, also do as the previous posts note given their experience. But not knowing the admission stats or desires, but schools like Oregon or Richmond have BAs or BSs (or like Oregon both) or BFAs which Oregon has too. Some schools seem to have minors too…and they may also have auditions for dance companies so one can perhaps study but not advance.
Perhaps the list will give a few ideas.
Can You Major in Dance With No Experience? No Audition College List!