Near Church of Our Lady of the Snow. When you a stay at Hotel Supetar Cavtat in Konavle, you'll be near the bay, within a 5-minute walk of Church of Our Lady of the Snow and Rector's Palace. This 5-star hotel is 11.9 mi (19.1 km) from Pile Gate and 12.5 mi (20.2 km) from Dubrovnik Ferry Port.