Hey dear, if you see the last year's cutoff which went very high that even students getting 500 marks found it hard to get an mbbs seat. So, with 280 marks getting a govt. College is very tough for you but since you asked for private college under state quota, than you can get it through counselling easily but with high fee. For more information about colleges , marks and ranks you can go through this link:

https://medicine.careers360.com/articles/neet-result-marks-vs-rank