PLEASE don't ride the wrong way. Here's a good summary of the dangers.
Your best bet is probably finding tertiary roads, even if it means a longer ride. In places I ride, it's not unusual for a safe cycling route to be three to five miles longer, or more, than the most direct car route. (Usually hillier, too.)
Sometimes urban bike clubs publish cycling maps. Have you checked whether there's anything of the sort in your area?
Is there a sidewalk? That's kind of a long way to walk on a "bike" commute, but maybe you could navigate a sidewalk by putting an outside foot on a pedal and using your bike as a "scooter" until you get back on the road.
ETA: Just glancing at a map, it looks like bridge crossings may be your biggest issue. I have one of those in my commute, too, but I just stay on that road for the shortest possible distance needed to get to the other side of the river or freeway.
Edit again: Google maps for cycling are still in beta, but they do indicate where roads have bike lanes, and I see several in your area, including freeway crossings at 34th and 10th... I'd use that for a jumping off point, then ask at your LBS and/or ask some of the experienced cyclists in your area how they would route it.



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There are few tertiary roads that gets me in the right direction, not in my part of town. There are a lot of isolated streets that do not connect/intersect with the major roads and thus do not get me to the coveted country roads.


