Hey dear, seeing last year cutoff which went very high that even students getting 500 marks found it hard to get an mbbs seat. So with 350 marks even if you belong to sc category, getting an mbbs seat would be very difficult. With this score you can get bams and bhms for sure. For more information regarding  your question go through this link:

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

Also you can check out your college prediction through this link:

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