From the
Road construction and Parking thread:
Also call the Mt Williamson Motel / Base Camp in Independence. (760) 878-2121. They especially help hikers using the Onion Valley trail head. They might have some good ideas, or even be able to shuttle you up.
If you park and Independence and either hitch hike or catch a shuttle ride to Onion Valley, hitching a ride down from Whitney Portal is pretty easy. I think hitching from Lone Pine to Independence would be easy, too.
By the way, shuttle services are expensive. Good luck!