Too lazy to look this up right now, but Southern cal has SCCSC which is the college ski/snowboard conference. I know that northern cal has the same equivalent because we competed against them. But... if your school doesn't have a team already, you are allowed to attach on to one of the near by teams and compete with them since it is pretty much unaffordable unless you have more than 20 people the first year.
But it is really really fun. N. Cal goes to tahoe pretty much every weekend then competes against S. Cal in Mammoth sometime in April. Then after that is nationals which last I heard was in Sunday River.
Being from LA and 4.5 hours away from Mammoth... Most of the team got in around 20+ days at Mammoth and Mammoth is farther than Tahoe is from the bay area. You can probably expect about 40 days from the season which is entirely adequate for a college student. that and if I remember correctly, school gets out in May for you... So you still have a month and a half to ski considering a few resorts stay open through june.