Well, to reach Spiti in November , first of all you you`ll need to take the Shimla -Kinnaur route since the Manali one closes in winters. so, you will be travelling from Shimla, Narkanda, Rampur (on the way, before you reach Reckong Peo, you can take a small detour to Sangla and chitkul, I STRONG ADVICE IT i.e. if you have the time) Then, going through Reckong Peo, Kalpa , Nako, Gue, Tabo and Kaza. Once you are in Kaza, make sure you go to, Key Monastry , Khibber, Langza, Hikkim and Komic. Spiti is my absolute favourite place ever, I am sure you will love the experience.
(For any additional info, feel free to message me. Will love to help ya!! :)