I live in a neighborhood close to UCSD where many students park. In my area the spaces on the street (no time limit parking) are full by 7 am once school begins. One area that you may try for street parking is La Jolla Scenic Drive North. There is 2 hour parking along this street nearer to UCSD, but further along there is no time limit. I go to the YMCA off this street and see many students parking here. You probably have a 15-20 minute walk just to get to the edge of campus near the La Jolla Playhouse so depending on where your classes are you need to leave plenty of time.
There may be some street parking near all of the apartments/condos off Nobel and Lebon, but you need to check that out before school starts to make sure you could find a place to park. The advantage of parking over there is that you could catch the 201/202 Superloop bus once parked and get to campus that way.