Hello,

The Official board has the list and it is in marks cutoff. Better you check for it and know if you are satisfying or not. Here is the link:- http://cutoff.annauniversitycounselling.com/tnea/college/1/UNIVERSITY-DEPARTMENTS-OF-ANNA-UNIVERSITY-CHENNAI-CEG-CAMPUS

If you satisfy then you can surely get an admission in CSE or  ECE else any other branches as you have a good rank. About the self supporting part better to contact to the board about it. They can guide you better and also the process for it. That will be most accurate for you.

Hope it helps!