Offbeat places to visit in June

Hello kind people!

I will be visiting Uttarakhand in mid June. I know this would be the peak touristy season and hence over crowded hill stations. But I am still hopeful of finding some offbeat, less crowded place to spend 4-5 days. I am looking for scenic lushful greenery, peaceful environment and pleasant weather, in the same order of preference.

Can you please share your suggestions/ experiences about:

1. Any offbeat/remote place near Mussoorie?

2. Amongst Lansdowne, Mussoorie, Landour and Chopta which place attracts less crowd and still not overrun by tourists?

3. Hotel/homestay recommendation for these places

4. Anyother general thing to be mindful of when visiting Uttarakhand in mid June?