There is a lot of rock in the Davis Mountains area, but, unfortunately, this is Texas, where 95% of the land is privately owned.
A welcome exception is Point of Rocks, a roadside park about 20 minutes west of Fort Davis where there is trad and sport climbing up to three pitches.
The rock looks and feels like granite but is technically syenite, which is basically granite without quartz. As a result, the rock apparently is softer and more subject to flaking and wear than true granite is.
From Fort Davis, head out of town on 17. After about 2 miles, turn right on 166. About 10 miles later, there will be a roadside park on the right. This is Point of Rocks.
The Mountain Project page for POR mentions a PDF you can download. This guide is the best source of information about the climbing here, but right now at least, the link for it is not working. If you want to climb here, you can message me with your email address and I will send you the guidebook since I downloaded it way back.
That said, and since I've only been to this location once, I'm not going to pretend to know where all the faces are and what the routes are. I will, however, add a couple route pages to reflect what I did climb.
This is Texas, and private property is a big deal. POR is adjacent to private land. Do your best to stay off private property.
Fall through spring. Summer is hot, usually 90+ degrees and often over 100.
None. You might be able to sleep in your car here, but I can't recommend that because I really don't know if that's legal. There definitely is no developed camping here, and there are not even trash bins or restrooms.