You already mentioned CA publics but if you want transfer credit, you pretty much need to go to a public school (or take a school-specific placement exam a la MIT). If your daughter feels confident in their math subjects, then it may be a benefit to go to a school where you can get credit for those lower-division classes.
For reference, some of my good friends in high school (all STEM-interested) and I were in the same math and science DE classes; they chose top-tier privates and I chose a UC. Once we got to college, they had to repeat freshman calculus b/c university policies and I had half of a degree.
In-state, the UCs will give financial aid.