If you're open to driving to the Sacramento area, assuming you are based on your interest in POWER, there's also Folsom Cheer Elite. They have an open 5 (or 6, I forget), though I'm not sure if they actually do any big competitions. If you want to be a serious competitive team I think your best bet would be POWER or NorCal Elite (though apparently something is going on with them reading above?? Idk?)
Cheer SF is pretty cool though. They go to UCA Collegiate Camp at UCSB (I'll see them there later this week! :D) and they're really nice! However, as you know, they do not compete. They're recreational and focus a lot on fundraising and performing at various community events in SF. I suppose it's better than nothing.