To camp at this dispersed area, you need an overnight permit for Mt Whitney. Winning the lottery is very tough, we managed to get permits in April when the "unclaimed" winning permits were released. Outpost Camp is 3.8 miles from Whitney Portal Campground, sitting at 10400 Ft compared to Mt Whiney Trail Camp which is closer to 6 miles in and sits around 12,000 Ft. You options for setting up tents will be on rocks, so make sure to bring a comfortable sleeping pad or mattress.