Engineering

Yes, SIES Graduate School of Technology (SIESGST) in Navi Mumbai, India offers both B.E. and B.Tech. in Computer Science Engineering:

B.E. and B.Tech. in Computer Science Engineering

SIESGST offers a four-year B.Tech. in Computer Science Engineering. The program's educational objectives include developing the ability to innovate, design, and implement projects.

B.E. in other engineering fields

SIESGST also offers B.E. courses in other engineering fields, including Electronics and Telecommunication Engineering, Information Technology, Mechanical Engineering, and more. 

The main difference between computer science and computer engineering is their focus:

Computer science

Focuses on theoretical computing and software development, with a greater emphasis on cybersecurity, algorithms, and computer networks.

Computer engineering

Focuses on the integration of hardware and software systems, with a greater emphasis on computer design and development.

You might just get a chance to get a government engineering college through state-level counseling if your JEE Mains rank is 870235 and you were born under ST category.

However, the chances of admission in an NIT or IIIT are completely ruled out because their ST rank cutoffs are far, far lower. Well, you still have a couple of backup options like state government engineering colleges for reserved category seats and those under the state quota.

Check with your state advice for ST cut off and seat availability in government colleges. Explore even the different counseling like JoSAA, CSAB, and individual state admission processes because some states tend to favor reserved categories members through lower cutoff ranks.

Currently in Coimbatore, there are five engineering colleges where one can get admission without any kind of donation fee.

The following is Hindusthan College of Engineering and Technology (HICET), where the total fee for a B.Tech course is around ?2,20,000.

Karpagam College of Engineering also conducts several engineering courses without demanding donation fees and complies with the fee framework by the government.

Their merit-based admission, into most of these colleges, is either by manipulation by state government counseling (TNEA in Tamil Nadu).

An affordable educational access would, however, be within reach of this student without any extra payments in the form of a donation. For more details on eligibility and admission, interested people can directly verify with respective colleges.

Since you are an AIR 827976 in JEE Mains, Pvt Engineering Colleges or even Government Colleges in the states seem to be a good catching point because the cutoffs are not so high.

Heritage Institute of Technology, Indian Institute of Carpet Technology and new IIITs like IIIT Kalyani, IIIT Una are some good options for you. Also explore the state-level engineering colleges in my home state under? 4 Lacs in which most times there are home candidates reserved seats at much lower cut-offs.

NIT Goa has specific branches having quite higher cut-off lines.

You may consider it, or you can also think about some private universities such as Lovely Professional University and Sharda University, with low requirements in JEE mostly having affordable fee structures. It will make possible some more options through state-level counseling through these platforms such as MHT-CET and TNEA.