i am italian and i lived in france remotely for 3 years.
with my former girlfriend i have been to almost any region, each one may cater for your specific needs.
since you are talking about mountains the Alps of Savoie come to mind.
Here is a "major breakdown’ of all places i stayed.
Its pretty comprehensive and hopefully helpful.
Nice in Cote D’Azur : 14-15 months
Anglet in Pays Basque : 2 months
Crozon in Finistere / Bretagne : 3-4 months
Aigremont Gard - Languedoc Roussillon : 1-2 month
Puymaurin in Auch / Haute Garonne : 3 months
Aigueblanche in Savoie : 1 month
Joncelet in Herault : 6 months
Lattes in Cantal - Auvergne : 1 1/2 month (paid 6)
Les Vans / Ardeche
Aix les Thermes
Place we liked most:
Weather, Sea, Light, Commodities, Food, Position of Apartment, Few Social Connection, Feeling that we are locals, Promenade, Easy to go around, Restaurants, Elegance, Airport, People like to come visit us, Close to Italy, Sunny Balcony
City Life, Terrorism, Criminality, Prostitution, Crowded, Noise, Bus, Expensive, Traffic, No garden.
Weather , People , Nature , Houses, Climate , Food
- Pays Basque
PROS: Food, People, Service, Safety, Nature, Tradition.
CONS: Weather, Prices
PROS: People, Remoteness, Light, Tranquillity, Oysters, Coast
CONS: Travelling, Connection to Flights
PROS: Mountain Air, People, Villages, Tradition, Savoie, Food, Antique, Local Food.
CONS: Asphalt, Locked Feeling
PROS: Space, Calmness, Campaing, Piscine, Eating Outside, Big Trees, Sky, Walks
CONS: Nothing Around, Low-level, Organic almost impossible, Fast & Dagnerous Drivers, Close to the Road,
PROS: Flowers in the Garden, Ecosystem, 3000 m2, Countryside, Driving to Restaurant, Calmnness, Wine, Sun, Making Breakfast in the Sun, BBQ
CONS: House was not the nicest, Kitchen, Arrangments,
PROS: Eco House, Design, Calmness, Loneliness, Cumbia the Doggy, Stars, Sky, Food, Wine, Spring Water, Automatic Heating, Shape of Living Room,
CONS: Small, No Natural Heating, Shower to Small, Kitchen Smallish, Small Fridge, Sofa was cold. Too remote, to much driving for shopping, Town nearby not appealing, No Friends, no socialising.
- Lattes / Aurillac
PROS: House, Calmness, View, Mixture between Wood & Stone, Each one has a room, Light, Spacious, Neighbours friendly, Space outside, Stove where you can cook pizza, Comfy but simple, Trees & Sky,
CONS: Isolated for Int’l Travel, Bit locked, Cows * Agriculture * Farming,