Shepherd University in Shepherdstown, WV has an excellent music department and music education major. And Shepherd is very generous with music and merit scholarships. It is not a very selective school as far as overall admission goes, but many of their programs are very good - music, education, nursing, and19th Century American History are a few.
Oh, and Shepherd does have some Core requirements.
(I graduated from Shepherd with a BA in Music Education and taught elementary and middle school band before having kids).