Hey if you want to experience snow, you can visit following places in Himachal Pradesh
Jalori pass, manali, Shimla, parashar lake, kheerganga.
Also you can plan a trip to uttrakhand
Auli, Harsel, chopta, kedarnath. You will also find snow in all these places
Hi there, for trekking Manali is the best. you will find several challenging good trekks there. such as Brighu Lake, Chanderkhani and Friendship peak. Also Rohtang pass. I would suggest you to take a local guide along as they are well versed with directions