Comcast owns NBC. TBS and Time Warner Cable own CNN. The Walt Disney Company owns ABC. The list goes on and on.
There is this thing called the 1st Amendment. It explicitly prohibits a state run media. Just because you disagree with what someone says doesn't mean that it's state run.
You also seem to be extremely ill informed of media history. There has never been a time in our nations history - EVER - when the media was not biased. I encourage you to read up on how newspapers saw their role throughout the 18th, 19th, 20th, and 21st Centuries. Modern day news is sheer child's play compared to how things were reported one or two hundred years ago.
It's really smart to begin this discussion early. My grandma has dementia and has been in a Medicaid nursing home for a few years now. My dad (the POA) understood everything he had to do to get my Grandma on Medicaid, but not everyone does. I would definitely encourage someone who doesn't understand what needs to be done to get a lawyer to make sure they do everything by the letter of the law.
I honestly think it is just out of spite. It just doesn't make sense to me why Texas or any state would want to prevent thousands of their citizens from receiving quality healthcare. The sad thing is that it will cost these states more in the long run because these individuals who don't qualify for Medicaid and don't have health insurance will just go to the ER whenever something happens and pass the cost onto everyone who does have insurance. It's a very shortsighted way of governing.