Big Bend 

First off, I have no idea how this is (a) part of Texas and (b) so rarely visited. Big Bend is absolutely amazing. It is one of the most scenic parks I'd had the pleasure of hiking. I think the reason people don't come here often is it A VERY LONG WAYS AWAY...from anything. I live in Texas, and it was a 12 hour drive, to Texas. LOL

Now -- having said all of that, would I recommend Big Bend as a hiking or backpacking destination? Not really.  It's beautiful, but it's broken into a lot of small hikes. There really is no 'backpacking'. It would be better as an adventure bike experience. It takes most of the day just going from trail head to trail head. Great for beginners, or if you like short (10 mile) hikes.