Glad you're enjoying Texas! John Steinbeck has some of the most incisive quotes about the character of the state, which for this Texas native, continue to ring true today. Among them:
"Texas is a state of mind. Texas is an obsession. Above all, Texas is a nation in every sense of the word."
If you head out west, I highly encourage a few days in and around Marfa. Depending on your personal preferences, you could stay at the Thunderbird (hip, cool), Paisano (old school comfort), El Cosmico (artsy, funky) or Riata Inn (boring...). Wherever you stay, spend a day just wandering the town. Art museums and galleries, a great coffee shop/laundromat, restaurants ranging from the down home to haute cuisine. For a town of 2000 in the middle of nowhere, it is incomparable. Also, great day rides to Big Bend National Park (via Presidio and the River Road) and the Davis Mountains loop (which James Dean would drive in his Porsche every night during filming on the movie "Giant"). One warning, the town is slow and many places closed Mon-Wed. Fridays and Saturdays are best.
Wherever you roam, enjoy your adventure!