Don't get too hung up on a major or specialization. My experience is that if you are an engineer you are an engineer. What you study in school is just a starting point. You will grow into what ever industry you wind up in. Example, I'm working for a rocket company. We're rocket scientist. The head guy is an electrical engineer. My boss who does the engine development and got put in charge of recovery systems came out of the petroleum industry. I'm not sure about his degree if he has an engineering degree it's probable in mechanical? Another is just a blue collar guy out of the air gas industry. He does all of our cryogenics and most of the construction on the rocket. There is a contractor that is a dynamacist that I'm sure has aerospace degrees. But I think I might be the only person here at the shop that was an AE, aerospace engineering major and I'm the seamstress. Maybe that should tell you some thing about the viability of that degree path... If I was to actually give you advice, I'd tell you to study your math. Maybe even get a minor in it. Regardless of what your paper says, some thing general like mechanical engineering or EE or some thing more specialized like AE, there will be a place for you in what ever industry you presue.
But just as an example. I'm working for this company as their parachute rigger. Thinking back on what I've used from school. Alot of my work with pattern sets and design uses a lot of protective geometry and differential geometry. Unrolling sections of surfaces out of 3d space in to 2d to form pattern sets. Reentry models goes back to my AE courses. I cracked an old Thermo text a couple of weeks ago looking at a problem we were having with our pressurization system. Analyzing INU data from drop test. People say that you will never use what you learned in school, I've found the exact opposite. Particularly the math. But more than that I find the things I studied in school just generally inform me of how things will behave. And I never actually finished my degree. Some time I wonder what else I would have learned. It was invaluable but it was also just a starting point and nothing more then a foundation upon which to start building your experience. What you learn afterwards is what your career is built from.