A B737-300 FLC RECEIVED A TCASII RA ON DEP FROM SFO.

Narrative

DEPARTED SFO ON PORTE 3 CZQ TRANSITION. AFTER TKOF CLRNC; TWR GAVE US 3000 FT ALT CLRNC; INSTEAD OF THE NORMAL 15000 FT. CHKED IN WITH DEP. HE GAVE US A L TURN TO 180 DEGS JUST AS WE CROSSED THE SFO 350 DEG RADIAL AT 4 DME (THE SID CALLS FOR A TURN TO 200 DEGS AT THIS POINT). HE ALSO GAVE US A CHEROKEE AS TFC AT 3500 FT VFR NWBOUND (I DON'T REMEMBER THE CLOCK DIRECTION; BUT THE CHEROKEE HAD PASSED OVER THE SFO ARPT). THE WX WAS CLR; ALTHOUGH THERE WAS THE TYPICAL CLOUDS OVER THE COASTAL HILLS; INCLUDING MOUNT SAN BRUNO. THE FO WAS FLYING BY HAND. ABOUT THE TIME WE ROLLED OUT ON 180 DEGS; I SPOTTED THE CHEROKEE AT 10 O'CLOCK POS AND ABOUT 1/2 - 3/4 MI AWAY; LEVEL AT 3500 FT. HE WAS HDG RIGHT OVER THE TOP OF US. BECAUSE OF THE CLOSE PROX AND 500 FT SEPARATION; WE RECEIVED A TCASII RA TO DSND. THIS CONCERNS ME BECAUSE WE ALSO WENT RIGHT OVER THE TOP OF MOUNT SAN BRUNO. THE RA ENDED ALMOST AS SOON AS IT STARTED; BUT HAD WE DSNDED; WE PROBABLY WOULD HAVE RECEIVED A GPWS 'WHOOP; WHOOP; PULL UP.' THIS WOULD HAVE PUT US BTWN THE PROVERBIAL ROCK AND A HARD PLACE!