Hi Harsha, Snow is unpredictable. Last year it snowed in Manali the first week of March. You can see snow in Auli. Read more about it in the trips attached below. Keep exploring!
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 Harsha, if you want to experience snow in March you can plan to take following treks -
Kasol-Kheerganga trek
Triund trek
Hampta pass trek
Kedarkanta trek
Beas kund trek
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