Use the giant 10" long nail style pegs that are like $2.50 a 4-pack at Walmart. In hard ground they are the easiest to drive in and the easiest to pull out and they won't bend or break (unlike "no bendums" or the plastic ones). In soft sand you can put two pegs in each hole at opposite 45* angles (so they make an X), with the pressure of the tent pulling at the center of the X. The X configuration will hold extremely well in soft sand and high winds. For even more sand/wind stability, dig a 6" hole, set the pegs in the X configuration at the bottom of the hole, then fill the hole back in. Your tent will tear long before the pegs will pull out.
As far as camping, although there are no established campgrounds, it's certainly best to use existing campsites where the land has already been disturbed rather than create a new site. There are several areas that have become popular. Probably two of the best based on location (good for camping in the same spot for both nights on a 3 day trip are right near the GCNRA/BLM border) are Frenchie's Camp and Big Alcove Camp.
For info on those you can Google:
frenchie's camp hole in the rock
or
big alcove camp hole in the rock