The idea of combining a ski trip to the Dolomites with a tourist visit to Venice is a well known and popular option, they are geographically convenient for this and only a few hours apart. Here's a thread with fun reading on Italian skiing: http://forums.epicski.com/showthread...ht=val+gardena
Cortina d'Ampezzo (site of a Winter Olympics many years ago) and Val Gardena are two of the best known ski areas in Italy's Dolomite Mtns, possibly the most scenically beautiful skiable mtns in the world. Many towns offer lift links to a large ski circus called the Sella Ronda, a tour of which can be completed in one busy day.
There is a well informed poster here named Nobody who is Italian and skis the area often. He may not be reading posts at this time of year. Maybe you could send him a PM with some questions. Read some of his posts in thread referenced above.