A charming, family-run B&B in Montepertuso, which is about a 10 minute bus ride from Postiano itself. It's definitely worth travelling that bit further up the mountain from the centre of Positano - it feels a world away, and far less touristy. It's in a perfect spot to start the Walk of the Gods. And there are a few great local restaurants on your door step.
The 2 rooms both have stunning, unbeatable views. The place is immaculate, Angelo and his family obviously take great pride in the place. The breakfasts are delicious (fresh croissant and cappuccino, as well as various cakes, toast, cheese and ham) and they also offer the option of a home-cooked dinner (for an extra 25 Euros a person). They use all fresh, home-grown ingredients (even the sausages are made from their pigs, and the wine is their own!) Delicious and well worth it.
Angelo and his sister are perfect hosts, friendly, knowledgeable about the local area, and very willing to help.