I'm not saying this is the quickest route, but I think it's enjoyable and pretty relaxed...take 4th down to I st SW, then take a right and head toward Maine. Cross Maine and proceed to Water street (at the SW waterfront). Take Water St. to the fish market and then hop on the sidewalk (it was widened to accommodate bikes heading west, so it's all good to ride there) and then down to Ohio Drive. 4th has a bike lane and is the designated bike route, as is I SW, so it's pretty stress-free.
Crossing Maine:
https://maps.google.com/maps?q=20003...228.29,,0,6.32
Get on the sidewalk here (again, the sidewalk was redone recently, so it looks different than the Street View shot):
https://maps.google.com/maps?q=20003...299.47,,0,5.15
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