Here is a reply I just sent back to Gary regarding camping in this area, hope it helps others. There are many other fine locations to stay at around this end of the county.
You have lots of options in the area you wish to stay. Deadman Creek is nice, shaded, and very popular. It is a ways (maybe 3-4 miles) off the highway and makes going and coming to & from town for other visits a little more difficult.
Big Springs Campground is nice and shaded (in the canyon) but has many slopes in this area. The sites are a little smaller. The flat areas have less shade but appear more open. The Owens River runs right next to the campground and has great fishing. Numerous trails heading out from camp.
Two other suggestions;
1) the next turn off north of Deadman (on the left) is Glass Creek Campground. Lots of shaded areas, flat, just a couple 100 feet from the highway (but the highway is not seen or heard). Trails go in every direction from camp, and half way between Mammoth & June Lake.
2) Hartly Springs Campground. Again a little ways off the highway (3-4 miles). Lots of shade and flat. Lots of trails from the camp site.
Any of these should work fine for you.
Fire restrictions are normally that you have a fire ring. They don’t want fires in the open forest where it is also legal to camp. As far as I know all these sites have the required legal fire rings. You should also know the fire restrictions vary from day-to-day, with factors like temps, humidity, winds, and air quality playing into the restriction. As far as I know there are no fire restrictions currently in place but check with the USFS closer to your arrival. (We do currently have smoke in the air from a fire on the other side of the Sierra’s near Fresno.)
Hap