Hii,. 

If i see previous year cutoff trends, then you have the chances to get into the private medical colleges given below with 328 marks in neet..

In up, according to the previous year cutoff lists  these are the colleges you can get - 

Era Lucknow Medical College , Lucknow:288 marks

TS Mishra Medical College and Hospital, Lucknow: 256

Career Institute of Medical Sciences, Lucknow : 288

Teerthankar Mahaveer Medical College and Research Center, Moradabad: 202

Netaji Subhash Chandra Bose Subharti Medical College, Meerut: 246

In Bihar ,  to check the previous year cutoff lists of the private medical colleges you can visit below link :

https://medicine.careers360.com/articles/neet-cutoff-bihar

Hope this will help! 

Good luck!