Mesquite Springs Campground is still closed. We just spend 4 nights at the dry campground at Stovepipe Wells, gas is cheaper too and we think it's less crowded than Furnace Creek.
If you are interested in a great dry campsite just outside the park on the south end, from Shoshone, CA, go north on California Highway 128 two or three miles to California Highway 178 and head west.
Go approximately 6.8 miles and turn left onto the excellent graded gravel road (Furnace Creek Road). Go south about 2 miles and you will note a large flat area with vehicle tracks going off to your left towards a butte. That's it!
There are more sites on along the Furnace Creek Road south of Shoshone, but they are more heavily used and you may have to drive up the road further to find a spot you like.
Happy Camping!