I'm unsure if you're looking for a cycling 'scene', or great riding in the area, or just living w/o using a car much if any.
It would be hard to find a Texas town with a population between 3400 and 18000 that wasn't easy to ride around in daily life. Typically you'll find wide streets, minimal town traffic and gentle terrain in small Texas 'burgs.
I’m looking for good riding and a place that I can ride my bicycle from my house to grocery store and back without getting run over. What I’ve been finding is in the small TX towns so far is the main HWY goes through the center of the town at 35 to 45 mph with the shopping lining the HWY with no bike lanes or little or no shoulders. Yes I have and will keep a car and a motorcycle. But will need to keep up my cycling. If I can jump on my bicycle to pop over to the hardware store, grocery, and the like it’ll be fun and easier to keep my fitness.