Mining Engineering

Corresponding courses in Engineering are not considered by private companies or PSU. AICTE also not recognise these type of degrees.

I don't think so. Can you please inform about other possible options you have?

To learn about the job prospects go through the skilled shortage list, SOL Australia. You will find information about skills in shortage and in demand. Mining for your information is a skilled occupancy.

The definition of better varies from person to person and is influenced by personal inclinations and one's strength for e.g. some people might to go with regular stream like CS, mechanical, Electronics and some might go with not so common branches like Robotics, petroleum, mining.
Opt for the engineering branch that you love the most and are most passionate about and analyze the future work conditions, scope and growth prospects before taking admission.

If college has brand image, good facilities and faculty then it is a good option.

Well taking about best, its ISM Dhanbad.