Neu-Falkenstein Castle is just one of the landmarks located 1.4 mi (2.2 km) from central Balsthal, so you might want to stop by for a few pics during your trip.
If museums are on your list of things to see in Balsthal, then you might want to head to Energy Park Event Museum. If you want to see more of the museums in Balsthal, Heimatmuseum isn't far either.