Hello aspirant,
The total number of seats available in different private colleges combined together through Jenpauh is around 575. So considering your rank and the fact that there's a huge competition for BSc Nursing course and that there are reservations also, you may have very less chances of getting a college. But you can wait until the subsequent rounds of counseling as few seats in private colleges may remain vacant.
Here are the list of some private college s

• Institute of Paramedical & Therapeutic Sciences & technology  40 Seats
• Nopany Institute of Health Care Studies -40 Seats
• Haldia Institute of Health Care Sciences Haldi, Purba Medinipur  40 Seats
• College of Physiotherapy (Peerless Hospital)  10 Seats
• Vivekananda Institute of Medical Sciences (RKM)  10 Seats
• Burdwan Institute of Medical & Life Sciences  30 Seats

Hope this helps

Good luck