Try best to get seat in Govt college.

Taking admission through management quota or not totally depends on you.
In 2017 there is only one entrance exam that is NEET and private colleges are taking admission through NEET only. So, there are less chances for paid seats. It's better that you should prepare well for exams so, that you can compete with other students.

For preparation you can follow NCERT book, solve all the question from NCERT book. Solve previous year question papers and complete mock test twice or thrice a week.

Have faith in yourself.Be determined ,do hard labour but in proper way ,success will knock at your door.If you go through Management quota you will have to pay more than a regular candidate,if I am not wrong.