For production I have this list in my docs, not finished…since you also want songwriting this may have too many and most have been mentioned:
http://www.berklee.edu/majors includes contemporary writing/production, production/design, film etc.
http://www.uml.edu/FAHSS/music/Programs/Undergraduate/SRT/Sound-Recording-Technology.aspx includes internships-very well regarded nationally
http://www.northeastern.edu/camd/music/academic-programs/bs-in-music-industry/ includes coop
http://www.emerson.edu/academics/departments/visual-media-arts/undergraduate-programs/audiosound-design
http://harttweb.hartford.edu/undergraduate/music/production.aspx excellent conservatory w/music production, affordable
http://www.purchase.edu/departments/AcademicPrograms/Arts/music/programs.aspx excellent conservatory w/studio composition and studio production, just outside NYC, very affordable
http://www.clarku.edu/departments/clarkarts/music/ Clark has production elements and scoring etc. but NO AUDITION- the advantage of a college / university versus conservatory/music school (but you can submit work as an arts supplement)
https://www.ithaca.edu/academics/majors-minors/sound-recording-technology-bm
https://peabody.jhu.edu/academics/degrees-programs/bm/bmrecarts/
https://smtd.umich.edu/departments/performing-arts-technology/
https://liberalarts.du.edu/lamont/academics/undergraduate-programs
https://www.colum.edu/academics/programs/music-bmus they also have
https://www.colum.edu/academics/programs/music-technology and audio arts
Elon
Carnegie Mellon
Miami Frost
UNT
USC
NYU
Ga Tech, Clemson (audio technology), Drexel, Belmont, Middle TN, Univ NC Asheville. College of St. Rose