As Mark says the high passes are difficult to impassable in winter, I once tried going up from Manali in early November and the road was blocked, another vote for Rajasthan which has lots to see and is easily accessible from Delhi especially for the first time visitor to India. Progress will be slow, don't expect to do more than 150-200 miles a day and be tired afterwards but embrace the experience and spend some time in each city, Rajasthan and a trip to Agra for the Taj should take up most of your month.
You should meet other tourists and perhaps a few other motorcyclists on the road, at places of interest and in tourist hotels, if I want company I look for backpackers hostels and book a private room if one is available.
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