Mark that first pic is my favorite out of the two, I love those formations in the distance, also that second photo doesn't look like an easy hike, although with the difference in elevation from the Sierras I'll slay those hills. It won't be a 15 minute drive to hike like here (Mt. Rose) but as long as there's open space in the area I'll be okay.
James, that formation to the left is the Elephant Tusk (5,200ft); the Rio Grande is way in the distance, hidden by the smog. The photo was taken from about 7500ft and is about 11 mile round trip and 2000ft of elevation gain from the campground.
Mount Rose is about 10 miles round trip with 2100 ft of elevation gain and Guadalupe Peak is 8.5 miles with 3000ft of gain by the regular trails. I've hiked Mt Rose maybe 20 times and Guadalupe once, but I'd say Guadalupe is the more strenuous.
There is vary little "open space" in TX--almost no BLM and a bit of Forest Service land in the east. The state is mostly private and fenced except for the state and national parks.