You meet CSU minimum eligibility based on your GPA to apply but it does not mean you will be accepted into all the Cal states.
CSU Fresno, Long Beach and Fullerton are impacted campuses meaning there more qualified applicants than spots. Being local you get preference but not a guaranteed admission.
For CSULB, if you are local you are guaranteed admission as Undeclared but not necessarily into your major.
Graduates of California high schools and other California residents:
3,200 minimum “Eligibility Index” to be considered for non-STEM major and a 3,300 minimum “STEM Eligibility Index” for STEM majors. (Be aware this is higher than the minimum for CSU system-wide eligibility.)
Applicants who are considered ‘local’ based on their high school of graduation or military status who meet the CSULB minimum eligibility requirements but are not admissible to the major will be offered admission as an ‘undeclared’ student. Undeclared students will explore other appropriate majors through coursework and advising and must meet the major-specific criteria for the major prior to declaring a major by their junior year. Applicants should note that ‘undeclared’ is not a route to their initial intended major. Undeclared students work with university advisors to identify and succeed in alternate majors.
For CSU Fullerton, the eligibility index for local applicants was 3650. Your EI is 3568 so CSUF is most likely not possible unless you bump up your SAT scores and again no guarantee of preferred major.
For CSU Fresno, the minimum EI as a non-local is 4100 so not an option.
For Chico State, non-locals will be ranked by eligiblity index and major. Acceptances will be offered from the top down until all spots are filled. Around a 3700+ EI makes a competitive applicant.
For SJSU, you can check the link I posted and see where you EI will allow you an acceptance.
For CSUN, it will depend upon how your EI compares to the other Health Science applicants.
Non-local area freshman applicants from the rest of California must meet any CSUN supplementary admission criteria based on the eligibility index. The supplementary eligibility index will be determined by the number and academic characteristics of the non-local freshman applicant pool. This supplementary eligibility index could require non-local area freshman applicants to possess a higher eligibility index than is required for local area applicants. Space permitting, non-local area applicants who achieve the supplementary eligibility index will be admitted until the freshman class is full…
NAU, ASU, UNLV look like solid choices. U of A might be slight Reach.
Add UNR and some Cal States like Sac State, San Marcos, Sonoma, Humbdolt, Dominguez Hills, Channel Islands, Bakersfield to your list.
Best of luck.