A perennial national top 5 powerhouse team lists the majors. It's a school that a non athlete needs almost a 1500 SAT to gain admission.

Of the top 25 players there are
8 Psych majors
7 Communication
5 Undecided
4 Anthropology
1 Engineering

As powder says pick a school that allows your daughter to pursue the major she would like. The list above suggests that really smart girls were directed to majors that might be beneath them just so they could excel in the major of lacrosse.