Hello Aspirant

It is very difficult to say anything about your chances of getting government or government aided college at these marks because they are very low according to last year's cutoff and the cutoff is quite unpredictable.

Now when I say it is difficult to predict anything it means both cases of you getting the college and not getting are realistic.

So, yes you should try till the last round, as cutoff changes every year due to many factors like Difficulty, no. Of seats, no. Of candidates etc.

You can use the college predictor tool given below to know your chances:

https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Hope this helps