Renting out can be complicated. The last time anyone was up to date with the rent on our flat was 2000. The law is stacked heavily in favour of the tenant.
The northern Alps are dismal most of the year. If you are only going to ski that’s great but… . Briançon – Gap area is a better bet year round.
IMO the best bits of France are close to the Alps or Pyrenees without being in them, and having a second home up the hill for skiing and escaping the Summer heat.
I suggest renting and living for periods in a variety of places and only buying when you have a better feel for the country, its people and the property market. Regional differences are just as marked as in the UK.
Places I like:
St Jean de Luz (if you don’t need a car in Summer)
Gap
Nancy
Pau
La Rochelle
Dijon
Places I’m not keen on:
Anywhere in PACA for more than a week
The north
The Alps except for holidays