My daughter was interested in the small schools (maybe not 1400, but under 3000). She’s so happy she picked a bigger school as she’s already changed her major once, and likes the bigger variety of classes. Even with 10,000 students some classes are only offered once a year and it takes planning to get the sequence correct. Other daughter looked at a very small college and the first thing we noticed was that there were only 5 math professors.
I don’t think dance and math are such a strange combination. Daughter’s roommate was a dance major but also in the honors program so was taking some advance since and math classes.
I think some of the small LACs try to offer too much and they then get stretched too thin. Don’t offer every major or minor. Pick a handful of subjects and make them the focus. Music, creative writing. foreign language. My daughter goes to a smaller school, and it offers engineering and a few related majors (sciences, math, medical bio). It also has a big psych department, a business school, and a communications major. There just aren’t very many other courses offered. There are enough English classes to meet the requirements of the other majors, but you can’t major in English, or a foreign language, or art.