Agree it's chancy in early November, unless you can make last-minute travel plans and go where the snow is.
I was once researching early November opening resorts and Val Thorens in France advertises consistent opening in first week of November. I recall this is the highest altitude station in the Alps.
If you look for glacier skiing, check the opening dates carefully. Even areas that have summer skiing in July & August such as Tignes and Saas Fee close down in the fall to reopen in mid-November.
Final bit of advice is to rent skis or take your rock skis for early or late season skiing.