Hey Akshaya !
With a score of 279 in NEET 2019, I am sorry to say but ti won't be enough to bag you a seat in any of the BDS Colleges in Tamil Nadu even through SC Quota.
As far as last year's cutoff is considered for BDS
It was a rank of 10,876 and comparing it with with your score I think you are far behind.
It would be better if you drop for one year and prepare quite hard to come up in NEET 2020.

You can check the cutoff through

https://medicine.careers360.com/articles/neet-cutoff-tamil-nadu/amp

Hope this helps.

Best Wishes !

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