Definitely not a hit, but: On the State Songs CD by John Linnell (of They Might Be Giants), one of the tracks is “Michigan.”
South Detroit is in Canada 
Kid Rock’s Devil Without a Cause mentions Romeo, St Claire Shores and Taylor.
Excluding Detroit makes it hard. Not much rhymes with Ann Arbor or Ypsilanti.
Do songs about Lake Michigan count?
Not sure if this one counts:
Rogue Wave - Lake Michigan