Stayed here mid September after completing two weeks walk along the GR5 from the Chamonix valley. We booked the day before arrival and it was perfectly situated between the old town and the Gare and lower town.
Arriving early... we only had a half day walk from Lanslebourg, we were able to leave our packs and explore Briancon. Perfectly comfortable room, more than adequate breakfast, great location, and best of all, all the staff were exceptionally helpful & friendly.
The 'owner'? tried to help with an onward transport problem...we needed to be in Grenoble the following night before catching a flight home from Geneve and there was a bus replacement service on the railway. Plus another minibus ( Ligne 35) direct, which we eventually caught.
If I'm ever in Briancon again then the Edelweiss will be my first choice