The only problem with that is that college life is a good transition to adulthood - where you are on your own in a sense, but still have a safety net and parents paying (most of) the bills.
When I was in school I could live off campus (3 miles away) and eat at restaurants for 2/3 the cost of the dorms. Since I cooked my own food I saved more. Your daughter might try that after her first year.