We stayed at the
Posada del Valles . This is an English-style country hotel near the north-west corner of the Picos de Europa, just outside of Arriondas.
The place was great. At 54E for a double, we got a room with an excellent view, great bed, and spacious bathroom. But much more important in the country hotel line, was the terrace looking out over the gardens, the reading room with English paperbacks, the socializing room with guidebooks, the hotellier-done notebook of walks (copies made on request), the pre-dinner socializing and so on.
The two standout elements were the knowledgeable explanations of various walks--what was best that day and the next--and the food. Sumptuous Spanish dinners, with items such as artichokes and favas from the garden, and a choice of Asturian cheeses or something with lots of chocolate (and some other choices) for dessert, and other yummy things. The breakfast yogurt (local, of course) was incredible!
Admittedly, not everyone goes to Spain for the English Country House experience, but we loved it--and the food was not English! The smoked cod appetizer ...and the olive oil at breakfast, no, this was modern Spanish, and excellent.
If you are planning on being in that area, I strongly recommend the place.