FWIW at the undergraduate level, CC poster @rogracer, an aerospace industry insider, recommended a mechanical engineering major with some aerospace-oriented electives, rather than an aerospace engineering major.
See, e.g:
http://talk.qa.collegeconfidential.com/discussion/comment/12851062#Comment_12851062
http://talk.qa.collegeconfidential.com/discussion/comment/11116006#Comment_11116006