<<"St. Moritz (www.myswissalps.com/stmoritz) is the tourist hotspot there, but there are smaller towns like Bever, La Punt and Zuoz.">>
We really like the end of the valley nearest Austria. Not full of tourists, beautiful scenery.
We have stayed many times in in Ftan, Guarda, Zuoz, as well as a few times at the expensive other end of the valley (St. Moritz, Sils.....)
We like the walks above the valley floor from Ftan to Ardez or even to Guarda, and Guarda is a Unesco World heritage site. Worth a few hours to explore.
Are you photographers? Could make a difference.
Not sure what the weather will be like those trails in early December.. 1400 to 1600 meters elevation. May be OK for hiking.
That can be a circular route from Scuol, using the bus to get up to Ftan.
Also, the lift from near the train station in Scuol goes up to Motta Naluns (skiing, hiking) and has a nice trail leading along the ridge to the lift up from Ftan. (or, maybe Ftan-Prui.)
Check operation hours....some of the lifts may be undergoing pre-season maintenance.
At the other end of the valley, near St. Moritz, , the ride up to Muottas Muragl on the cograil, and the walk to the Skilift Languard above Pontresina , thence a ride down and walk to train station puts you on one of the best panoramic walks in the Alps as Val Rosegg and the Bernina Alps come into your field of view. That is after you see the chain of lakes to the Italian border from Muottas Muragl.
Those trails are a lot higher - 2400-2800 mters,
Double check passibility.