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Hi,
Some of the colleges offering diploma in mechanical engineering through distance mode are :
-International Institute of Management and Technical Studies
-Inderprastha Polytechnic
-IES Academy (Institute of External Studies)
-Karnataka State Open University
For more, you may refer to the link mentioned below.
https://science.shiksha.com/distance-diploma-in-mechanical-engineering-in-india-categorypage-2-57-621-0-0-1-1-2-0-topInstitutes-2-0
While selecting the best college, you need to check some of the important parameters such as recognition, year of establishment, syllabus, fees etc.
Hope it helps. Please feel free to revert. Click on the thumbs up or mark it as the best, if you found this useful.
Wish You Luck!

First of all, let me congratulate you that being a first year student, you have set your goal for post graduation from the world's best technical university. Not being from IIT or NIT does not have direct bearing on your admission prospect but since they have better labs, research facilities and good faculties; indirectly, they contribute in student's growth. Research paper can not be written without doing some research which you should be able to do in your 3rd & 4th year, if your college has the right infrastructure.
My suggestions are:-
1. Keep your exam results above 72% in all semesters.
2. Develop basic concept in each subject and maintain separate notes of concepts.
3. Involve in minor & major projects thoroughly.
4. Learn a computer language, irrespective of your branch.
5. Develop good written and verbal communication in English.
6. Give GRE and IELTS/TOEFL only after your final semester and you should aim for above 330 score in GRE and above 105 score in TOEFL or 7 bands in IELTS.