Hey, 381 marks are too less in oder to get a private college when you belong to general category.. The cut off for general category goes very high you need to score 400 450 plus to get a private college.. Good luck .. Hope this helps.. 

As of now, assuming that you are asking for admissions to private medical colleges under private/management/institutional quota and not government/merit quota, 4 colleges in Kerala which come under the Christian Medical Management Association (CMMA) charge fees of Rs. 5 lakhs per annum as per the fee structure set by the Government of Kerala post NEET 2017. Apart from these, St. John's Medical College, Bangalore will charge fees of Rs. 5,07,080 pa and other private medical colleges of Karnataka will charge fees of Rs. 6,32,500 pa as per the fee structure set by the Government of Karnataka post NEET 2017. Uttar Pradesh private colleges charge fees beginning from Rs. 8.50 lakhs pa onwards. The best way to secure a seat in private medical colleges for low fees is via merit, that is by qualifying for the Government quota/state merit seats reserved in private medical colleges.

here I am attaching neet rank predictor tool

 please check out this link

http://medicine.careers360.com/neet-college-predictor

Feel free to ask me in the comment box if you are having any further doubts

hope you find it helpful 

Good Luck!