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If by "smoothly" you mean "avoid entirely", there are a series of trails that route around it:
http://indianatrails.org/NWI_area.htm
Of course this will add miles. I don't know if you are looking for min distance/max speed or a more scenic ride.
Unfortunately, the farthest I've been into Indiana is Munster. I was at one point planning a "bike to Michigan to say that I did" trip but then realized the South Shore Line which I would have taken back does not allow bikes. So I won't be going to MI unless its a multi-day tour and not anytime soon.
Oh, here's a bike map for NW IL:
http://www.nirpc.org/transportation/nonmotorized.htm
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