Arizona State University, University of New Mexico.
Look at schools in Utah, Wyoming, Montana. They are more modestly priced to begin with.
In terms of private schools, i agree, not enough info.
What can you afford to pay annually?
The private colleges that meet full need…many of them give need based aid only.
Look for the thread by @KevinFromOC . His daughter was high achieving and they also are from CA. He had a firms price he wanted to pay. She is getting the full ride McNair Scholarship at University of South Carolina. But there are lots of suggestions on that thread for colleges to consider.