First California is very sympathetic to DACA students. The Cal system is setup to where the UCs are for the highly competitive students, Cal States are for the moderately competitive and the CCs are for those without great stats. All of them participate in the California Financial Aid System. There is a separate form you fill out similar to FAFSA for a financial aid packet for DACA students. You won’t be able to apply not being a resident currently but check into how long it will take to get California residency while in college. You can find that here - http://www.csac.ca.gov/dream_act.asp. Also many of the UC and Cal State schools have Dream Centers where DACA students at those universities can receive resources. I know the Sacramento State Dream Center is amazing at letting you know what scholarships require citizenship and which do not. Here is the list from UCI Dream Center - http://dreamers.uci.edu/scholarships/ Lastly, California legislation in support of dreamers is amazing: you can get a work permit, driver’s license, etc.
Best advice, check out the Golden Door Scholarship. It is run by the same people who run Questbridge and focus on giving full-tuition and full-ride scholarships to DACA and TPS students. Even looking at partner schools I think would give you an idea of some schools which would look favorably on DACA students and supporting them.
Lastly there are some great private schools developing scholarships for Dreamers for instance Loyola University Chicago has opened their medical school to Dreamer applications and offers the Magis scholarship.
Good Luck!