October _ November and then FEb-March are the best time to visit any place in Rajasthan. Even monsoos are good because Rajasthan in general receive moderate rainfall. Basically besides extreme summer & winter , Rajasthan is good to go anyone. You can plan a trip to Udaipur/ Jodhpur / Jaisalmer or Jaipur. Rajasthan is beautiful
In rajasthan best places to visit is Udaipur, Jaipur, Jaisalmer, mount abu. In udaipur trip you must include kumbhalgarh, and chittorgarh.
People say visit rajasthan on winter, but i personally suggest you august to november or february.