This reply is almost a year late, so I hope you have already found your answers.
There are three provinces in the USA for the Secular Carmelites (OCDS).
The map you mentioned is for the OCDS of the California-Arizona Province of St. Joseph.
Texas belongs to the (Oklahoma) Province of St. Therese. There main page is thereseocds.org but it doesn't have the nice map that the western province has. If you look under Links, it has contacts for 2 communities in Texas. I have found that if I googled OCDS Texas, I have found more.
Hope this helps.