From the south east of France many years ago, we went over the Mont Cenis pass to Northern Italy, and stayed in the little Hotel at the top of the pass, I think it’s called the Mont Cenis Hotel but I’m not sure. Fresh trout at dinner caught in the nearby lake. It’s very beautiful and scenic up there, woke up in the morning by the sound cowbells as they brought them in to milk. ( PS- we were there in July/August, Check weather, the pass is very high.)
On the way there, We once stayed in the small village of Arc-en-Barrois in a hotel in the villagesquare and by the church. A delightful, typical French village. However It was a long time ago, and things do change, best check.