Not going there...yet. Just entertaining the thought. I'm a wildlife sciences guy so I'm throwing out job applications almost everywhere. Trying to get my career going again. Any area in Texas within 1 hour or so of some metroplex will be considered. The border counties, west Texas, and the Panhandle are out of the question. I'm most concerned with my wife(pediatric physical therapist)finding a job she likes, and my son getting the therapy he needs.
I really don't know what you are expecting, but by reading your post, I think you have needs that WILL NOT be met in Cotulla, TX. Seriously. And actually, moving to the RGV or Laredo would be better than that.
If you decide to move there make sure you try to buy the mineral rights of your property, lots of oil and gas drilling in that area...you can thank me later.
I live in LaSalle...not a bad place, but does have some drawbacks in your situation. I would suggest McMullen Cty--great school and close enough to Pleasanton/Jourdanton for your wife/child to get the medical attention/job your talking about. They have a pretty good hospital system there.