Hi, 

With your score, its difficult to get a college under the 15% AIQ counselling.

However you do have a fair chance to get a college under 85% state counselling of some state depending on the state u belong to.

You might even try for bds course in d state colleges. 

But i am sorry but you are indeed in a tough spot.

And regarding payment seats, government colleges have no paid seats.You get admission on the basis of mark n ranks

However you can try for private/deemed universities. You can have a better scope there.

Sais that nothing can be assured as of now since cutoff trends change every year.

You can check out the following link too:

https://medicine.careers360.com/neet-college-predictor