If the forecast is looking bleak, why not spend some time at Novocherkassk Museum of the History of Don Cossacks? You'll be surprised just how much you can learn about the past here.
When you've finished up at this Novocherkassk collection of historical artifacts, why not make your way to Ascension Cathedral, Grekov's House Museum, and Don Theatre of Drama and Comedy V.F. Komissarzhevskaya? They're near Novocherkassk Museum of the History of Don Cossacks and also a hit with many tourists.