We found a cheap and cheerful hotel, Hotel Nevado de Cachi, beside the bus station in Cachi, with double rooms for 40 pesos with shared bathroom or 60 pesos en-suite. The rooms are arranged around a quiet and pleasant courtyard, and the family running the hotel are very friendly. There is no breakfast included but there are a couple of good cafes nearby on the main square.
Fuerte Alto, Cachi
Ave Automovil Club Argentino s/n, Cachi
Frente A La Telecabina De Cachi, Cachi
Bustamante Sin, Cachi