Can you please tell you AIR, as it is quite tough to predict which college you can get on the basis of state rank as all data are present according to the AIR. Rest I am attaching a link where you will find cut off of previous years, go through it and tally with your rank and you will get some idea which college you can get, moreover you can also use our NEET college predictor to know which another college you can get in this rank.

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

Hey there, you are expecting 12000 state rank in NEET Karnataka. With these marks, you can take admission in some private colleges but your marks are quite low for taking admission in any top private college as your marks are quite low for that. 

I would rather suggest you check the colleges available for you at these marks at College Predictor at Careers 360 only and it will be very helpful for you while getting a seat there. It will be very helpful for you as it will show the best colleges available for you according to your category and even home state rank.

https://medicine.careers360.com/neet-college-predictor?icn=neet-clgpd_landing-page&ici=prediction-section_c360-home