If you can hit the Ozarks (northern Arkansas and/or southern Missouri) you'll find some great curvy roads. Not sure if there's time in your schedule, though.
Your route.... it'll get you there, but that's a really boring ride, from St. Louis to Kansas City all the way to the Colorado state line.
I'm not sure about the space-time continuum thing, but I haven't aged a single day since I bought my motorcycle.
And best of all, my girlfriends keep getting younger. That's a win however you cut it.