The vast majority of D’s classmates at Utah, who were ballet dancers with no apparent interest in outdoor activities when they went to college, ended up hiking, camping and even in some cases skiing. Even skiing doesn’t have to be a super expensive activity given the fairly low cost of the student Ikon pass if the ski resorts are a day trip from campus.
But I agree on the difference between private and public schools in terms of relative wealth: S noticed a big gap between students at UCLA and USC, even though the out of state students at UCLA are definitely well off.