U can try dharamshal ND mcleodganj for a weekend trip from Delhi in budget nd do triund trek which is easy nd the views are amazing and u may get to witness snow at that time on the triund top ,u can see this article of mine to cover triund trek in 3k budget from Delhi https://tripoto.page.link/eFVi or visit my profile to read the article ,the whole itinerary is there for covering dharamshala nd triund trek in just 3000 bucks
moreover add one more day in ur itinerary u can explore local places of dharamshala nd mcleodganj also