Are local public county health departments not doing regular, free testing in CA? That seems so odd to me. Here, you can go onto the county health dept.'s website, find all of the free testing that they're offering (some during the day, some in the evening, six days a week,) plus all of the OTHER free testing sites available in the county (offered by the local hospital system; nonprofit health clinic; CVS; etc) and you can search by date.
Last week, on Tuesday morning, we learned that we would have the opportunity to host my in-laws last night (who have not seen ANY of their grandchildren in 9 months.) Went on the website, found information for a drive-thru, no appointment, no pre-registration free testing site for Wednesday morning (that would also test kids under 18) that was less than 10 minutes from our house. We arrived just minutes before they opened at 8 am on Wednesday, and there were five cars in front of us. Stayed in our car the whole time, regular nasal swab (no brain swab.) Arrived back home before 8:30 am in time for school and work commitments. It was a LabCorp test, and we had the results in our patient portal in less than 36 hours. The local hospital system hosted it; I am sure that they probably charged our insurance, but it would have been free if we didn't have insurance. Both times we have been tested, we were easily able to find sites on our local health department's website.
Easily available testing for any one who wants it, with 24-48 hour turnaround time, and robust contact tracing--in addition to masking, avoiding crowds, and people indoors--is what it will take for us to be able to live full lives in the "new reality" in lieu of a vaccine any time soon.