I don't think you will be able to find a catered chalet in November, but there shouldn't be any problems finding a hotel room for a couple of nights. As only the lifts in the summer skiing area will be open at this time I would look for a hotel near to the lift station at the southern end of the village.
It is very expensive, the lift pass is the most expensive in Europe and they don't reduce the price in summer, in fact they put it up! A days summer skiing costs 82 Francs and a winter
Zermatt area day pass is 75 francs. Don't forget that the pound has lost about 40% of its value against the Swiss franc since 2007.