Even if you send your children to State University, they will be in danger and you will be responsible.
A naive young trad catholic will have atheistic or neopagan teachers and friends. Even if they go from home to University and from University to home, day by day.
I wouldn't send a daughter to college or State University. I will encourage her to learn a trade at home. If she marries, its OK, I will pray she would be at home. If she has a religious vocation, and learned a trade like cooking or sewing, that will be useful at her community. If she is a single woman, she could earn her own money (the last choice).
If I have a son, I would encourage him to learn some trade related to computers so he can learn at home, maybe going to State University but only if he is mature enough.