Hello dear,
With 350 marks,  you have chances of getting following colleges,  last year cut off for these colleges for sc category under state quota is :-
Mysore Medical College, Mysore:- 349
Mandya Institute of Medical Sciences, Mandya:- 311
Hassan Institute of Medical Sciences, Hassan:- 307
Raichur Institute of Medical Sciences, Raichur"- 338
Gulbarga Institute of Medical Sciences, Kalaburagi:- 348
thankyou
Feel free to ask your further queries if any.