Hyatt has a tie up with Small Luxury Hotels (SLH) and Kristiania Lech in Arlberg,Austria is under the partnership. I stayed there before and it is a nice property in a great ski town. Hyatt has the Hyatt Centric in La Rosiere located right in the French Alps.

Otherwise Marriott has some Design Hotels properties like Chandolin Boutique Hotel in Chandolin, Switzerland, and the Cristallo at Cortina d'Ampezzo in Italy. I am not sure if Nira Alpina in Silvaplana near St. Moritz is still part of the Design Hotels partnership as some hotels have withdrawn from it, but that is also a good choice. Another Design Hotel is Hotel Zhero near Ischgl, Austria and they have a van that ferries and picks you up from Ischgl. If you do not mind one hour of journey time, I can recommend staying at cities in Switzerland like Lucerne which has a couple of Marriott properties and the trains are the best way to reach the slopes. Engelberg Titlis is about an hour away, then Hasliberg/Meiringen is about 90 minutes away from Lucerne. Montreux has a Marriott property as well and it is close to several ski resorts that is accessible by train. Another city worth considering is Innsbruck, where there are numerous ski resorts reachable in 40-60 minutes by bus and they have a Marriott property. The hotels in cities are better if you do not plan to ski every day and cheaper by points as well.