Stopped here and kept going, you can do better
I don't know how to add a campground so I'll just review from here. This spot would be fine for a night if you get in late or plan to do the hike at the TH then camp. But you're literally camping in a parking lot. If you keep going down the road a bit farther, turn left onto a BLM dirt road (this camping area is listed on iOverlander app). There are a handful of dispersed sites just off the road. More private and space than the TH parking and close access to a TH that takes you up the Organ Needle. 2wd OK for access to most sites
Month of VisitMay