Hello!
You can try under state quota seats for Mysore medical college, Mysore which had a cut off of 443 marks or 48627 rank last year for mbbs or Mandya Institute of Medical Sciences, Mandya which had a cut off of 402 marks or 75692 rank last year.
For BDS, you might get into ESIC Dental College, Gulbarga.  Check out: https://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-karnataka/amp

Good luck!