Our son is applying for CS this year to some of the schools on your list. We decided not to apply to Purdue because of the reasons you state. Your daughter’s stats are great so I think she could do very well with merit at some privates. I would look into University of Washington, Seattle as well. Excellent program and they give OOS merit. UCSB and UCI also have excellent CS programs. I would apply to USC since she could get scholarship money there. They definitely try to recruit women to Viterbi.
My son was admitted with a scholarship to Chapman U EA and we really love the school. We attended a prospective students day in which they went over the CS program. Orange County has many tech businesses and their department makes an effort to bring them in to help structure their program. We were very impressed with their program offerings, research possibilities and future job prospects. Also, their new Engineering building where CS will be housed looks gorgeous. She could apply there as a safety and probably get one of the better scholarships.