Well, there are watches just for people like you in situations like this - drivers watches, like this LP Italy Stratosphere Competizione model. Yours for $2,195, the Competizione has a three-dimensional case that angles the watch so you can figure out how late you are without taking your hand off the wheel. (Those numbers are a bit tiny though, better make sure your vision is 20-20.)
The Stratosphere Competizione may even inspire your driving - it's the official time piece of the Risi Competizione American Le Mans team and its Ferrar F430GT.
[Source: Luxist via Into Gear] Thanks, Noah!