Edit 4/8: I called CVS and confirmed that they are not using “live or work in the county” as a restriction.
Per https://www.vaccinateca.com/, many of the rural counties within a few hours drive of the Bay restrict vaccines to people who live or work in the county.
Eligibility: Sacramento County residents who are 65+, as well as people who live or work in Sacramento County
County restrictions: Must be a Fresno county resident or work in Fresno county
County restrictions: The Placer County Public Health Division is currently conducting vaccine clinics for people who live OR work in Placer County.
County restrictions: Must be a Kern county resident or work in Kern county
County restrictions: Must be a Madera county resident or work in Madera county
Yeah, you can even donate appreciated shares through them! If I had known ahead of time about this match, I would have tried that approach.