How long of a stretch is this road? How heavy is the traffic at the times you would be riding? Are there alternate routes? Is there a sidewalk?

I think without the answers to these questions, I can't offer you any practical advice. FWIW, I would ride it some weekend morning or afternoon to get a feel for the road and see how people react. You will probably find that most people just pass you without a sound. I would pay strict attention at all intersections and not worry about overtaking traffic that much, as they will probably see you.

And remember, like many have said already, it's not a sin to drive. Sometimes it really does make more sense. Whether this is one of those cases, I have no idea.