I think I am qualified to answer this question as I graduated from IIT Madras Aeronautics department and I am working for Boeing in the USA.

You should choose IIT Madras due to following reasons:-

• Aeronautical Engineering is one of the evolving and emerging domains in India and has a huge growth potential.
• Dual Degree is a more research-oriented degree. 
• According to the statistics, among the students pursuing dual degree programs in Aeronautics from IIT Madras, 90% are placed with good packages.
• IIT Bhubaneswar has a NIRF ranking 47th with IIT Madras at 1st.
• The Average salary for IIT Bhubaneswar Electrical Program is 19 LPA.
• The Average package for IIT Madras Aerospace Engineering is 21 LPA.
• The Highest package for IIT Madras Aerospace Engineering is 66 LPA.

For more detail Refer - https://www.iitbbs.ac.in/index.php/home/placement-2023

https://internship.iitm.ac.in/downloads/P&I_Report_22-23.pdf