From B&B Savoia to Vatican by Bus number 490.
Go to Piazza Fiume, by the BNL [Banca nazionale del Lavoro].
At the bus stop you'll get the bus 490.
12 bus stop and 15 minutes you'll arrive a few meters away from the Vatican museum entrance.
From BBSavoia to Vatican Bus #490@Piazza Fiume
41° 54' 39.7008" N, 12° 29' 53.7468" E