You could concievably register it in MI, if it's that much hassle, just reg it to someone you know who lives here and if it ever comes up during a traffic stop, tell em yer borrowing it for the summer or something.
IL is one of the states that does the registration/sticker crossover with MI.
And MI doesn't give you too much crap about yer 'ped.
-Ree
(Who knows a couple of IL riders doin exactly this...)