Independence is on Hwy 395 about an hour south of Bishop and about half an hour north of Alabama Hills.  Which is to say it's a great location with a lot of places to explore and hike.  

This land is a good spot to stay for a few nights while exploring the area, or if you just need a free place to sleep.  The spot we marked here is about 2 miles west of Independence, but there are a few other cleared out areas that you can camp on, just check Google satellite maps.  We didn't see anyone else camping on the BLM land while we stayed here, but we saw a lot of people driving up and down Onion Valley Rd.

The area is clean and very quiet, zero shade and zero amenities.  Please help keep it clean by packing out your trash.

Some of the dirt roads might need a high clearance vehicle but on the spot I've marked we made it fine in our 26ft motorhome.