Question about new grad postitions in SF

Hello everyone:
Well, I finally have graduated and passed my boards (YEAH!!) and its time to look for a job. This morning I had a phone interview with Alta Bates. (L&D training program) Does anyone have any information about Alta Bates?
Also, I would like to know if it is appropriate to call HR departments or recruiters, and inquire about positions although they may not have any posted.
I really need to start working soon, and did not expect to have this much trouble finding a position.
(I know.. I have been reading all the posts...I just don't want to move out of the city!!! )