Wee Thump Joshua Tree Wilderness is located near Searchlight, NV. The trail is good for all skill levels and primarily used for hiking.
This is a beautiful desert hike. It can be long or short depending on your interests. Best in late March or early April. If you're observant the desert might smile for a picture.
Not really a hike, as there are no trails, but it's a fine place to roam around, see some Joshua trees, and view some desert wildlife. The turn off from NV164 is a dirt road, but even though it's not continually maintained, it's easily passable to most passenger cars as long as you drive slowly. I wouldn't take a low-clearance sports car here, though, and if you're not slow and careful you can easily kick up a few rocks into your undercarriage. Along the turnoff road, there are several places to park, and then one can just roam around the trees.
Since there are no trails, one can easily wander in to the area and then lose the way one came in. However, since the total size of the area is limited and bounded by roads, this would be only an inconvenience to any but the least prepared travelers. There are several significant washes cutting through the area that make good trails. Nonetheless, some forethought and/or experience in orienteering might save some aggravation later.
There's not a lot of variation in the terrain within the Wilderness, so, once you've seen it you've seen it, but it's a fine place to tromp around for a couple of hours.