Bali would be a good option. Its cool and relaxing place.Also, its budget friendly as well for Indian national. Less than 50000 Rs. You can refer our itinerary:
Bali: https://www.youtube.com/watch?v=U9gTbCytU1o&t=2s
Well summer season (May-July) are certainly for European travels if they fall within your budget. Western/central europe (switzerland, amsterdam,paris,london) would be a little expensive so if thats out of your budget you can go to Prague,Budapest,Bratislava which is equally scenic and cheaper in comparison.
May is a good time to travel to Europe... Spain, France, Italy, Switzerland & Greece are amazing Countries... U can also plan an Eastern Europe tour as its cheaper than other parts of Europe. Budapest & Prague are my favourites in Eastern Europe... In Asia, u can visit Thailand, Singapore, Malaysia or Bali.
I guess you want to sit back relax on a slow pace and still enjoy the trip! I have many options for you depending on the budget. High Budget!
1. Faroe Island
2. Iceland
3. Norway
4. Switzerland Medium Budget
1. Italy
2. Greece
3. New Zealand 4. Australia(Specially Queensland) Low Budget
1. Bali
2. Andaman
3. Thailand
4. Dubai Hope this helps!
France and Germany would be good for you because lot of people are travelled to this countries with their family though it's not cheap like eastern European countries.