I've been to BPC twice and both times I went alone.  Some of the sites are usually available and you'll know why when you get there.  They are shadeless, small or not level.  Other sites are okay but to me, it seems to lack privacy.  For example, I had site 25 and although other sites were not visible, I could definitely hear voices from other nearby sites hidden by the plants and at other prime sites, you can see other sites in plain view.  It's not a show stopper, because I've met some really nice folks there.  I met a couple there and the man, Tim was really nice.  When he left, he wanted to give me his leftover firewood and I said he could give it to someone else, but he said no and that he wanted me to have it.  How nice is that?   What I use this campground for is car camping the eastern Sierras and mixing in some backpacking.  Setting  up my car camping stuff,  leaving it at camp and then wandering off for a night  with a permit works out very well as I can return for another night knowing I have a few cold brews waiting for me.