Hi again Lisa,
While we liked all of our trips, for the best options on places being open, accomodations, restaurants, attractions, hiking and walking and beautiful scenery in late October... I'd go with Mittenwald, Germany. Simply the quintessential Bavarian village surrounded by Alps. Very easy by train or car. Close daytrips could include:
Karwendelbahn cable car (right in Mittenwald)
Ettal Monestary, Garmisch-Partenkirchen, Seefeld, Innsbruck, Hall in Tirol, Ludwig's Linderhof Castle, Oberammergau to name a few.
This is not to say we didn't love Switzerland (especially Wengen), Mittenwald would just give you more options and be easier on the budget.
If you're intereted, our recent photo's are at:
We can also recommend the place we stayed twice. The Pension Schwalbennestl. Very nice place, buffet breakfast, very friendly owner at unbeatable rates (in my opinion).
The website is only in German, yet you can correspond (Frau Bader speaks some English) in English.
Hope this helps.