Has been quite a while since we moved, but as I remember, I never had any problem accessing the internet. I did find this page you might check out. It's got a lot of info on it.
https://broadbandnow.com/Arkansas/Hot-Springs
I get almost all of my medical care from the VA, but my wife's doctor for many years was Dr Diane Bodeman. She loves this woman, and I can't remember the last time she called her Dr Bodeman. It has always been simply "Dr. Diane".
https://www.chistvincent.com/physicians/diane-bodemann
As far as auto mechanics go, it's something you might want to ask around from some of the locals, but when I lived there and had an issue I could not repair myself, I always went to Chapmond Automotive. It looks like the younger generation has taken the reins, but as I understand it, they are still carrying on excellent work.
https://www.chapmondautomotive.com/
My son was stationed in Hawaii for quite a while. They absolutely loved it. Hope this helps you a little. 
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