Hey, Ayushi. October and November is a really good time for planning a trip. Where to travel, it also depends on your location and your preferences. However, I will suggest you to visit Harsil. It is a very small and straight out of heaven village in Uttarkashi, Uttrakhand . It is located at just 25km before Gangotri. You will see some of the best landscapes, apple orchards, Bhagirathi in it’s full glory along with the Buddhist temple and wooden houses. You can also visit Gangotri and trek to Gaumukh which is the origin of river Bhagirathi. I went there last year solo. Don’t forget to take a village tour to Mukhuba. Happy and safe travelling.