Hello Ankita,
Yes you have decent chances of getting admission in private medical colleges.
There are approximately 48 private medical colleges in West Bengal and with your rank you will have good chances of getting into some of these colleges as the cut-off for these colleges reaches upto 25000-30000 rank so you will have good chances.
Use the below link to get a list of all the private medical colleges in West Bengal and their details-
http://www.medicine.careers360.com/colleges/list-of-private-medical-colleges-in-west-bengal
Use the below link to check the previous years' cut-offs of private medical colleges in West Bengal-
http://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-west-bengal/amp
Hope this helps.