You can try going to leh ladakh in May June as it is summer in there and you don't have to face harsh cold in those months the sky is clear and it hardly snows. you can visit diskit, nubra valley, hunder, panggong lake, kargil and leh town
Hey, if you want to explore India then in north u can go for dharamshala, dalhousie. Talking about South go to munnar, allepy. Jodhpur and jaisalmer is also a good option.
I really want to explore Bhopal and other parts of MP but I am not sure about the weather condition at that time of the year. Will it be a good idea to visit MP at that time of the year?
In mid may and mid june south and central India is going to be hot so better visit northern part of the country and one can also opt for eastern India which is rapidly stealing the title of most preferred travel destinations from others.