What time of the year are you talking about? If you stay in Southern California and it is during the summer (hot) months, you have to stay in the tallest mountain areas. San Gorgonio (11500ft) Wilderness is out since the PCT passes next to it (not through it). However, San Jacinto Wilderness and San Jacinto State Park offer several nice day hikes in an alpine setting and has the PCT passing through it.
If you are staying in Hollywood and don’t want to drive long distances, then you need to look into the Angeles National Forest or the Santa Monica Mountains. The higher elevation areas of the Angeles national Forest are serviced by the Angeles Crest Highway(2) and the Angeles Forest Highway. The Santa Monica Mountains (a costal chain) is serviced by the 101 or PCH(pacific coast highway).
Miner