The Los Altos Rod and Gun Club range in Los Gatos is worth the drive. It's in a very nice setting, right on Skyline Blvd just beyond the Hwy 9 intersection. Check it out some time, if you haven't already.
It’s the best in the area, for sure. It’s a fair distance though, up the hills from San Jose The best local place is San Leandro, though it’s a bit bare bones.