Hello dear your sc category rank is pretty good. According to that you can apply for the following colleges. Yes there is a probability of you to get government colleges.

1. Jadavpur university,kolkata 

2. St Thomas college of engineering, kolkata

3. Heritage institute of Technology,kolkata

4. Netaji subhash engineering college, kolkata

5. Bengal institute of technology, kolkata

6. Maulana abul kalam azad university of technology, kolkata

7.kalyani government engineering college, kolkata

For more info visit the link

https://engineering.careers360.com