India is a land of exquisite spots which are cool all through summer. Will share a few Tripoto links written by travellers pertaining to their travel in summer, see if it is suitable for your travel. 30 Best Hill Stations in India To Soothe Your Mountainlust!
https://www.tripoto.com/trip/best-hill-stations-in-india Here are some more spots to explore
Tawang Mount Abu
Despite the relentless heat prevailing in most parts of the country, the country still has a lot of places that are perfect for a summer vacation. Few options I will recommend - Manali, Shimla, Darjeeling, Mussoorie, Nainital, Gangtok.
Depends on where you are located. I'm a native of Kerala and we have pretty good hill stations here like, Munnar ,Vagamon, Wayanad, et.c. So if you plan to visit these places, you may also cover Kodaikana, Ooty, Koli hills .. these are to the other side of the western ghats . in Tamil nadu
There is no other best place in the world except kashmir to visit in Summer, weather in Srinagar remains so pleasant, temperature if goes above 35 and it gonna rain definitely. you gonna definitely love