Despite the Western view that "kremlin" is a word solely associated with Moscow, the word translates as fortresss. Centuries ago, all Russian cities had a central, walled kremlin.
The ruined citadel of Koshoy Korgon, is located just outside of the village of Kara-Suu. Not much is known about this fortress (at least according to my guidebooks, anyway) but it dates from roughly the 10th century, and was probably Karakhanid.
Tash Rabat is a stone fortress/caravanserai dating from either the 13th or 15th century (depending on the source), which was once a prominent stop on the silk road. Tash Rabat is only about 60km from the city of Naryn; however, due to the quality of the roads, the trip takes about two and a half hours.
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