Mr Smarty Plants has a couple of ways to assemble that list.
The first is the direct way. If you go to the “Mr Smarty Plants” link under EXPLORE PLANTS, you will see that you can search Smarty Plants for keywords. Inserting “groundcover” gets you way too many responses . All of these give you lists and recommendations for groundcovers. Here are some pretty good answers for places close to Kingsland:
These are all lists that Mr Smarty Plants put together for specific situations in nearby cities.
Another approach is to make your own list. Under “RECOMMENDED SPECIES” – there are lists for both Central Texas and the Edwards Plateau. If you choose “Grass/Grass-like” under General Appearance for the Edwards Plateau collection, 48 different natives will be selected. Groundcovers are a bit harder to sort out, but if you choose Herbs and 0-1 feet tall, there will results a list of 49 low plants, most of which will make a good groundcover.
Here are some pictures from excellent choices from those listings.