Do yourself a favor and do NOT travel on the Interstate system. If you truly want to see and experience the local flavor, culture, and sights, you will get none of those from the Interstate system. Wife and I just did 10 days driving the entire Blue Ridge Parkway and Sky Line Drive for the Fall foliage and we took every two lane back-country county road we could by using her I-pad with Google GPS/Map/Earth overlays. Combined with Yelp reviews, we were able to find rooms, fantastic local eateries and neat tourist things slightly off the beaten track.
If you like clay target shooting, there should be some nice courses on your travels