October to mid Feb . Book a hostel. If you are traveling alone I will suggest book a hostel for new friends. It’s not expensive when you stay in hostel.
Here are some suggestions for you across India:
1. Bahubali Hills in Udaipur.
2. Mukteshwar town in Uttrakhand.
3. Landour in Mussoorie.
4. Phase 3 in Kashmir.
5. Fontainhas in Goa.
Happy, safe and responsible travelling.
You should definitely visit "Cabo De Rama". You will have great time there! Its just not about the sunset. This place has some magical vibe with stunning view which you should not skip for any reason. Another place which I would suggest you to take up bike trip via jungle(easy one. You will get company easily) to butterfly beach. It is really a happening and good place to be at. Happy, safe and responsible travelling!
As a solo traveller if you wish to stay in backpacker hostel then it will cost around 60k to 70k. Food and accommodation cost will be reasonable. But if you wish to go to 148th floor inside Burjh khalifa then please by tickets in advance.
You can book from Mumbai to goa tour packages and take each to cover North & South Goa. When you book from Mumbai to goa tour packages, you will be able to drive to nice views and then you will also be able to enjoy the whole trip to Goa without any hassle. https://www.tripoto.com/goa/tour-packages
Though all beaches are good there yet I would prefer Colva beach being less crowded and so more clean among others. So a beautiful calming place to enjoy the family time. Fun fact is that the famous resort that become the house of actors in Golmaal movie is also on this beach.