Elgin Hotel is centrally located and MG Marg is walking distance away . I am sure they provide you rooms on single occupancy basis . Taxi fares from Airport to Hotel will vary depending on the season and availability , so would suggest to inquire with a Taxi operator.
Dear Sir !
We thank you for your query ! January is a beautiful month to visit the whole region of Darjeeling and Sikkim however it is winter time and the roads Nathu- La pass , Changu Lake and Yumthang can be closed due to snow.
However in the towns of Gangtok , Pelling , Darjeeling & Kalimpong there is no snow and the skies are clear and the roads are open and you will get good views of the mountains .