Because your DD has little experience in CS, I think you should consider schools that are very flexible in terms of declaring a major. You DD might love CS but she might not. Schools like Harvey Mudd, Rice, Smith and Wellesley will offer a flexibility that some large publics do not. Now is a good time to look at your budget. Determine if you DD will qualify for aid, if she should seek out merit scholarships or if you are comfortable being full pay.