I would like to touch upon non-elite colleges with great reputation.

MIT university, Chennai. This is where Dr.A. P. J. Abdul Kalam did his under-graduation. Probably you can also be the next star in making.

PEC university of technology, Chandigarh

Sathyabama university, Chennai

Hlo, yes their are some Colleges which offer admission in aeronautical engineering without jee main. But that College's organise their own exams. 

College.                                             Exam

1.Amity University, Mumbai          Amity Jee

2.Hindustan Institute of.                HITSEEE

Technology & Science, Chennai

3.DSCE,Banashankari,Bangalore     COMEDK 

4. Indian Institute of aeronautical       MHTCET

Engineering & Information

Technology

5.Sathyabama Institute of                   SAEEE

Science & technology, Chennai

These Colleges offer aeronautical engineering without jee main.