Western Ghats in South would be Ideal... Lush Green mountains and you will have many options... 1. Kodiakanal
2. Ooty , Conoor, Kudalore, Kothagiri, Masinagudi
3. Coorg, Chikmagalur
4. Munnar , kollukumalai , Kanthaloor, Cloud Farm...
Check out for Cloud Farm in Instagram... You'll be flabbergasted... If you want contact's for any of the above places, just Dm... Happy travelling....
Any of the hilly places in north like as Shimla etc or northeast region or southern region hill station other areas will have very high temperature in June-July where it is difficult to roam around in day time.
Hey priyanka hello 👋 , why dont you try for the mojntains of himalayas in june end ,try for kullu district places like KASOL,TOSH,CHALAL,KUTLA,RASOL all of them are short treks and at the end of the trek no doubt you'll be mesmerized with the view points over there . and as per my experience i dont think budget would be a issue at theese places , at that thime of year you'll find Israel crowd over there . hope this reply may get some use for u .👍