Tufts might be a good fit.
It is located just outside of Boston (about 5.5 hrs from NJ).
It has about 5000 students and music is an integral part of the culture (about 2000 students are involved in music programs/classes each year and the new performance hall was voted the best in the Boston area).
It also has joint degree as well as cross enrollment programs with the New England Conservatory in Boston whose chamber orchestra holds performances at Tufts.
Boston is very accessible via public transportation and has a lot to offer the classical music lover.
http://as.tufts.edu/music/documents/faqandinfo_OLD.pdf
http://tuftsdaily.com/news/2014/02/14/symphony-orchestra-looks-to-expand-horizons/
https://www.youtube.com/watch?v=shvtjzhiSJ0
http://talk.collegeconfidential.com/tufts-university/1322815-tufts-orchestra-chamber-groups-etc.html