you will have every possibility
I found nothing... probably a little too crowded during the high season
If there is no snow, you won't find snow in an other destination...
The 320km (200 miles) of ski trails above Davos are divided in to seven areas (Parsenn, Pischa, Jakobshorn, Rinerhorn, Madrisa and Gotschna), some of them lift-linked. But also for non skiers, Davos offers a lot of Action; Winterhiking, Crosscoutry Skiing, Curling, Ice-Rinks... The Ice-Hockey Team of Davos is the best in Switzerland - if you have the chance, to join a game in the stadium - do it!
Europe's highest town has successfully consolidated its significance in the early years of winter sports by constantly improving its ski area so that it has remained one of the world's best. Davos offers also a wide range of accomodation - from the 5 Star Hotel to the youth-palace or a combo.
By train you have only 2.5h from Zurich Airport (2h by car).