Thanks everyone for the input. If I wasn't totally clear, my significant other is not a climber so would not be up for 4th class stuff, or roped-up glacier travel. I know this is a climbing forum and I'm asking for non-climbing advice...
Any good links on this one? We're not just limited to Savoie area -- we're in the planning stages now, and can go just about anywhere. The Dolomites seem a bit far, however.
Speaking of which, you can make a very casual two night crossing of the border, spending night one in the Cabane du Trient (Switz) crossing the Col du Tour the next day to the Refuge Albert (France) and possibly climbing the Aiguille du Tour along the way if you enjoy loose 4th class. We did it in that direction and descended to Tour, 20 mins up valley from Chamonix on day 3. Lots of gentle and non technical glacier walking. You would need crampons and an ax, a 30m rope if you want to look like a sporty professional.
Looks great, except for the actual climber part. Partner can't do that. Any info on the huts or difficulty of terrain?
Dolomites seem a bit far off what our other plans might be, such as Paris and up into Germany, urban areas. Thanks for the suggestion, but anything similar in other parts of the Alps?