Welcome to College Confidential. Have you visited UC Davis? It seems to check off almost everything on your list. Have you considered Cal Poly SLO?
For the UCs, would you please calculate your UC GPAs using the instructions and calculators on this page? GPA Calculator for the University of California – RogerHub For the CSUs, you can use this calculator. GPA Calculator | CSU Cal Poly SLO considers grades from 9-11 so it looks at a different GPA than your 10-11 CSU GPA.
Regarding budget, I understand what you are saying. I did the same with my kids. We had budgeted for UC/CSU tuition and expenses. I told my kids that if they were applying to privates, the school would need to match or beat UCs/CSUs. Depending on the school or opportunity there was wiggle room, but we didn’t want to go into debt for a private school when we have such great public options.