Routing depends on when you would turn East and whether you want to include Death Valley NP along the way. Some routes tend to have longer stretches without regular services. You would need some water carrying capacity. Cold weather gear may be needed soon in the mountains where you are heading as elevation increases.
AAA maps are useful particularly the Indian Country Map and Southern Nevada and Death Valley area.
Approximately when will you arrive in the Santa Barbara area?
Do you want or need to ride through LA?