Driving Tunica-St. Louis
Don't know if you are asking about general highway conditions or weather. It is mostly interstate. I haven't traveled it since last spring. There was a lot of construction with lane closures at that time. I can't imagine that this is the case in mid-winter, but don't know for sure.
The weather is another matter. There is a storm heading for St. Louis, expected to arrive Thursday or Friday of this week, with possible accumulating snow. The way the storm is tracking now, it appears that the snow would not extend very far south of St. Louis, so the drive from Tunica would probably be OK until you got close to St. Louis. Next week, so far, looks clear but cold.