Hi Abhishek
You can either visit Himachal or you can visit Rajasthan for 5-6 days.
As it is also said that it is the best time to visit rajasthan, where you can visit Himachal anytime. For Himachal,you can go from delhi
Delhi-Tirthan valley-Manali-Kasol/Mcleodganj.
You can opt between Kheerganga and Triund. For Rajasthan, you can reach quickly from delhi
Delhi-Jaipur-Udaipur-Jaisalmer. It all depends, whether you want to see mountains or deserts and palaces.
Hye Abhishek, You can celebrate new year in camps on snow mountains. You can go to following places for camping : 1)Kheerganga trek(One day trek, Parvati valley-Tosh, Malana, Kasol) 2)Triund trek (One day trek, Dharamshala-Naddi, Dalhousie, Macleodganj) 3)Prashar lake trek (One day trek, Mandi) 4)Kedarkantha trek (5 days trek, Uttrakhand-Dehradun, Rishikesh, Mussourie) 5)Dayara Bugyal Trek ( 6days trek, Uttrakhand, start from Dehradun) Hope this would help you.
According to me.... You should try to go somewhere in north eastern India, specially try to travel in himachal and you can also opt for nepal you can also select a pilgrimage site for visit so day it may help you you with positive energy for coming year