Funny how the mind works. Up until I read your post, the phrase "cross-country road trip" would automatically bring an image to mind of going east to west. Road trips are always west bound! I live in the middle of the country and always go west, starting with my hitch-hiking trip from OK to CA and back in '71!
East bound, what a concept! Enjoy and be prepared to discover that most people are nicer to travelers than you would expect!