I am a California boy, born and bred here, also educated here. Out here we are probably taught more about the country from Scott's Bluff to the Pacific but are taught little about from SB East. In mid September 2011 the DW and I took off to visit much of our country that we had not seen before, we had no schedule and our only time limit was home by Christmas. Well some of you can agree I'm sure that we glossed over a lot, but, I'll tell you the three states you mentioned are just the tip of the iceberg as far as things to see and do in the US.
Those states are historically and visually unbelievable and to be savored. The cultures are so different in each state and so much fun to immerse yourself in. All the above recommendations are good but I have one that I learned when I lived in Hawaii, the best source of finding the soul of the area you are in is the activities bulletin boards listing social gatherings of churches. In most places we have visited, we have been welcomed and accepted without ever having anyone try and convert us. Most folks use our visiting their events as a chance to learn about the West and where to visit.
The Elks, Masons, Moose, DAR, all have public events and are usually better than any event you have to book through a travel agent.
Another secrete is speed control, not the one you set on the interstate, the one you set in your heart. Memories are held there and those three states can fill in a lot of space. Then again, I feel that way about all 50 states, fifty different cultures under one highway system.
"I travel not to go anywhere, but to go. I travel for travel's sake. The great affair is to go". R. L. Stevenson
David Bishop
2002 Winnebago Adventurer 32V
2009 GMC Canyon
Roadmaster 5000
BrakeBuddy Classic II