Well worth it! We drove on to Mt. Rushmore after the CWS. Unfortunately..
it was the one where the Hoos lost to Vandy. When we got to Mr. Rushmore at night an hour before closing, it had rained, and it looked like Thomas Jefferson was crying for the Hoos loss.
Note, it's better to fly to these venues. The drive was beautiful but brutally long. I concede that the Badlands was worth the stop, but we should have explored the lake behind Mt Rushmore (you turn right when leaving the park).