Speaking as an aero… I would have hated majoring in any engineering other than Aero. If I didn’t do Aero I think I would have majored in something completely different. Wouldn’t touch electrical engineering and mechanical was 
I can also say it works both ways, just like you can get an aero degree and do something else, there are a ton of people around here at work who don’t have aero degrees and have been working with me for years in aero.
Not sure of the cost these days, but you might want to look at Embry-Riddle Aeronautical U. Can’t get more aero than that. They are private, so they will cost more, but may be opportunities for merit or need based aid. Stats wise, I think you would have no problem.
One other thing I would ask is your aero focus: do you want to work with airplanes or rockets? Because if space and rockets are your love, you might want to look closely at each program. Most programs focus on aircraft. Still good and important but you might get bored or disappointed. Pretty sure CU Boulder and School of Mines both have opportunities to focus at least some of your studies on space, rockets and things like that. Although my degrees were heavily 
I am all about 
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