I think I found a solution, and I will be using it for this problem. If you are like me and graphics card drivers updates are a dead end, this might work for you too. If you haven't played skyrim in months this is worth a shot.
Possible Solution: 
Thanks to another video I found a mod that fixes my shadow problem. It? removes the shadows, but keeps lighting FX, so the feel of it isn't really lost much. The mod is called “Shadow Remover” and can be found at Skyrim Nexus.