Hello,
you can apply to get into any private medical college in india but however we recommend you to take admission in private medical colleges of karnataka or maharashtra as the fee is quite less there around 6-7 lakes per annum and also they provide with all the latest equipments and facilities required during mbbs course.
Also maharashtra and karnataka have maximum no. Of private colleges in the country so you have more and better options to chose from.
Yes you have chances for getting into private medical college in karnataka at neet score of 450 as your NEET AIR will be around 45-47k.
You can use careers360 college predictor to know the colleges you can get at your NEET score:- https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
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