Here are a few.
Golden Gate Tennis Club http://www.goldengatetennisclub.org/home.html
San Francisco Bay Club http://www.sfbayclub.com/web/site/benefits/programs/tennis/
Golden Gateway Tennis and Swim Club http://www.ggtsc.com/
San Francisco Recreation and Parks http://www.sfgov.org/site/recpark_page.asp?id=2156
Of course, if you are not too far from Marin, we have a few nice tennis clubs http://www.sylviasellsmarin.com/TennisClubs
So I can ask our tennis pro if he knows of any good ones.