Here's another option for you, get campervan for the road trip part. Takes care of lodging issues. If your considering only part of the coast it could work.
What are your dates in September for this trip.
You could camp in Pfeiffer Big Sur State Park, lots of openings in September. Probably because of the detours, very surprising. Weekends could be a challenge but looked doable.
https://www.reserveamerica.com/camping/pfeiffer-big-sur-sp/r/campgroundDetails.do?contractCode=CA&parkId=120068
For Yosemite you could camp in White Wolf, first come campground, and drive to the Valley. pretty easy if you get there before noon especially on a weekday.
For Lee Vining, Mammoth Lakes or Tom's Place there is great camping all over, no worries.
You could go with 2 nights each place. A campervan is perfect for 2 people and includes the camping gear. It ain't your rag top Mustang but act like a hippie and you'll get by plus you'll save some money.
Turn the campervan in when arriving LA and get a cheap car.
http://www.escapecampervans.com/
https://www.jucyusa.com/
http://lostcampersusa.com