Try going up to the Grandview Campground in the White Mountains (across the Owens Valley from the Sierra Nevada Mtns). Its at 9000 ft and on the way to the Bristlecone Pine Forests. Its a 'dry' campground, so you'll have to bring up all the water you'll need for your stay. Pit toilets and picnic tables. Nice and quiet. Drive north on 395 out of Lone Pine to Big Pine, take Hwy 168 east up towards Westgard Pass (168 is the road just out of the north end of Big Pine). The turnoff to the Bristlecone Pine Forest is about 12 miles up, the only paved side road. Grandview campground is about four miles up the road, and the Bristlecone Forest's vistor center, and Schulman Grove area, are at the end of the pavement another 5 miles up Even if not staying at the campground, a visit to the Bristlecone Pines, and the fantastic views across the Owens Valley to the Sierra Crest, make this a great worthwhile day trip.