Nice. If you are going to stay longer which means your trip will last till Feb end or March. In that case, more options would become open for you, especially North east.
This lake is usually close in Jan. Might become feasible for you. Sikkim is also a gorgeous state. Kinda like a Honeymoon state.
Ah the place where it all went wrong for me with my relationship, around the same time as well
I went to Jaisalmer last year around 24th Jan. The weather is pleasant & cool around that time & Sam Sand Dunes is gorgeous.
If you are going to Sam dunes, Try to evade the crowd & go deep & you will find yourself in a fenced sanctuary, jump it & an entire desert will be completely for you far away from noisy crowd. Sit there & watch the sun set. That said it depends on where you reside. worked for me, might not for you.
Then There’s Meghalaya
Please don’t come to Mumbai. We are a commercial center, it is just a hub for offices. Although if you are going to spend a long time off the grid in remote locations of India, a day or two to realign yourself in one of metro cities might be helpful.
Please transition your water intake & spicy food for first few days.
I will leave you be now. Have fun researching.