For me it was Kedarkantha trek, which cost me around 5000 in total, I completed the trek in 2 days, the view from the top is next level, you may freak out. Give it a try.
Lots of Exotic beaches & islands in India are not open to tourists to preserve its natural habitate.
Special permissions are required to visit those which are not available easily.
Either it will be the best.
Though andaman alone is comparable to best of the beaches in Asia.
Yes i slept many times in my car i had qualis and pajero few years back one of the best feature was rear seat and whole seating compartment converted into bed.
You can visit hrtc official website for bus booking. all types of buses available here according to your budget. you have other option like private buses or taxies also.
You can explore GOA in Nov- Dec, it's a seasonal period there due to new year and all.. and many more activities to explore at that time like speed boat and banana boat rides, paragliding, waterskiing, water scooters, boogie boarding, dinghy sailing, wind surfing, kayaking, scuba diving, snorkeling, and more. There is cruising, and fishing too.
Explain to your family that becoming a traveler is a very professional job and show them videos n photos of very big professional travelers of the world.
There are lots of treks. 1. valley of flowers
2. Buran Ghati
3. Satopanth Lake
4. Kedarkantha
5. KGL
6. Hampta pass
7. Kedar tal
and lots of lots of treks. You just need to choose according to you fitness and experiences.