In NEET counselling the selection for MBBS seats are done first and then the seats of BDS filled in.

To predict a college would be a difficult task as the cut off marks vary every year due to the varying number of students. But, if compared to last year's cut off marks you might get a private seat in BDS.

For further more details regarding cut off you can go through the following link

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

And for predicting your college you can check the given link below

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Hope it helped

All the best !