My family traveled the U.S. back in the 60s. It was a great experience of my life; Mammoth Cave, Mississippi River, Grand Canyon, Gettysburg, Disneyland, San Francisco, Rocky Mountains, Yellowstone, Yosemite, Big Bend, Las Vegas, Great Salt Lake, The Alamo, Lake Tahoe... That isn't a fraction of what we visited on the trip. The drive across country will be an opportunity of a lifetime for you and yours and you definitely got my upvote!
ヾ(＾∇＾) BON VOYAGE