See the possibility of getting the admission whether govt. or private depends upon the cutoff rank of various institutes. According to your marks you can get the good college but for that you need to go for the counselling and choice filling rounds only after that one can know the possibility og getting the college of his/her choice. You can also use the career360s college preidictor for the better idea of the college admission. You ahve not mentioned the rank but on career360s platform you will get the every information about the cutoff marks and that too college wise. So the link is attached you o through this and you will find the information about the NEET admissions.

https://medicine.careers360.com/articles/neet-cut-off

Hey there

You have scored good but in AIQ you need to score atleast around 580 to get a good government medical Colleges so you will not get a government medical College. But your marks are good so you can opt for private colleges you have chances of getting private medical colleges. 

Check neet cutoff

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-cut-off/amp&ved=2ahUKEwib96eK7NHiAhXz7XMBHbNuB30QFjAPegQIARAB&usg=AOvVaw13ncSIsRF6_r3F1MyqcLzL&ampcf=1

Good luck

Dear candidate,
Colleges is totally depend on the marks you got and the rank. Different states have their own criteria for seats to allote. Under state quota the 85 percent reservation for state students and under all india quota the 15 seats for the other state students.

As you have not mentioned about any state, its difficult to say about any college with any information.

As per your marks you have much chance in the home state, if you belongs to viz. Karnataka, West Bengal, Gujarat and many more.

For that here I am providing you with the link of our site portal to predict your college by just mentioning your information for the college and know you applicable colleges.

Follow the below link to predict your college:
https://medicine.careers360.com/neet-college-predictor

Hope this information helps you to get college details. 
Thank you