Need recommendations on a good hotel for online gaming

I have to come to Houston for about 2 weeks to meet with some special back doctors that I have had some good success with after years of chronic pain. It will be just me so I am planning on bringing my Xbox so that I have something to do when I am not with the doctors, or working on my laptop. Does anyone know of any clean, nice, hotels with good/great internet? If it existed I would pay extra for great internet, something like my own ethernet gigabit/fibre internet connection, but I am not sure if that exists.