The Thing
The Thing is one of the all time great horror films, not least because of the genuine horror of not knowing who you can trust in a scenario where your life is in danger. When your most trusted friend could turn out to be a monster who wants to take you over, how could you ever know who was real? This would make a great basis for a horror series.
I’d propose a show that would be more of a sequel to The Thing, rather than an adaptation. Create a show where the titular monster has made it off the Arctic. Set it in a world where the monster has managed to spread and take over most life.
Not only would this allow you to make a post-apocalyptic show, which are always popular, but a show that would be full of tension and horror as the survivors would never be able to let their guard down, even with each other.
I think in regards to all the crappy doctor shows in TV, a good Re-Animator horror show would be pretty awesome.