https://theskisafari.com/ski-in-italy/dolomites-ski-safari/
Sounds exactly what you’re after.
Refugio to refugio would be a blast
You can't beat the variety of skiing, spectacular mountain scenery, lift network, towns, food, and lodging options that you'll find in the Dolomites
The Dolomites Safari does require that you carry your overnight stuff in a backpack.
So, it's booked. The Dolomites. Found an operator that puts a fine-dining rifugio to rifugio tour. Bags are transfered between each one, so we need not carry anything as we ski. And, altitudes of all rifugio's are all below 8000', all well below the ~8500' of Telluride and Aspen at which my wife always gets altitude sickness upon arrival. And, we will engage a guide. She goes ahead of me and my son, spends a couple days exploring Venice, then hangs out a couple days at Cortina d'Ampezzo, which is lower than Denver, where she has no altitude problems, to acclimatize. It's not France, and it's not quaint village to quaint village. But, it will be fantastic food and views to fantastic food and views, or so we are assured. If altitude becomes a problem for her, the guide can get us to lower elevation and still get us to our next destination. The wife has signed on.
Much thanks to everyone that chimed in with suggestions. I really like that website @Slim pointed to. From it, the villlage of Sixt caught my eye. I will definitely be referring to that website again. Very easy to navigate too, through Google Translate's webpage viewing feature.
The tour I booked isn't for everyone. After all, the basic Italian cuisine as prepared in Italy already surpasses what we can normally expect to find in the States; I'm sure the food at the vast majority of rifugios would please the palate. And, not everyone needs or wants the services of a guide. I'll include anything useful I learn, for those that might want to do something like this but yet differently, in my trip report.