Hi, Aheli.

With your neet marks being 403, it might have been helpful if you had given your state and category but I'll give you the bams colleges that you can get for these marks. 

1.Bangalore medical college and research institute.
2. Mysore medical college, Mysore.
3. Mandya institute of medical sciences.
4. Hassan institute of medical sciences.
5. Karnatak institute of medical sciences.
6. Belgaun institute of medical sciences.
7. Vijaya nagar institute of medical sciences.
8. Bidar institute of medical sciences.
9. Raichur institute of medical sciences.
10.ESI post graduate institute of medical scienes

For these marks,  you can easily get into most of the prominent colleges in both bhms and bvsc. 

For more accurate colleges prediction, check this link

https://medicine.careers360.com/neet-college-predictor?icn=NEET_clgpd&ici=sticky-qna-wap

Goodluck