If you are in Khorugh and interested in visiting museums, I would recommend checking out the Khorog Regional Museum. It is located in the city center and showcases the history, culture, and traditions of the Pamir region.
If you're looking for similar types of museums in the area, you could also consider visiting the National Museum of Tajikistan in Dushanbe or the Historical Museum of Sari-Tash in Kyrgyzstan, both of which feature exhibits on the history and culture of Central Asia.