In reply to RyanH:
Well I would suggest that you consider the Engandine valley in Eastern Switzerland.
Beautiful area, with lots of straightforward Alpine peaks that can be reached from delightful huts, also masses of fantastic and not normally crowded walking in the side valleys that still have very good paths, also many of them have superb views of the Bernina massif.
Not cheap, but then nowhere in Switzerland is cheap, tends to get quite a lot better weather than more Western and Northern parts of the Alps like Chamonix, also much less sense of "hustle and bustle", more of quieter, more relaxed mountain districts.