If the weather's taken a turn for the worse, why not spend some time at Dakota Discovery Museum? You'll be fascinated by just how much you can discover about days gone by here.
You're spoiled for sightseeing choice in Mitchell. Dakota Discovery Museum is a good place to start here, but there are numerous other fine places to consider. Corn Palace, Mitchell Prehistoric Indian Village, and Dakota Wesleyan University are not far from the collection of historical artifacts and and will cap off your day nicely.