Have you thought about maybe just walking the bike for that short stretch? I think my situation might be similar, my lil poduck town has one main thru street. Four lanes coming in on one side, narrowing down right through the middle and on out the other side.
For about 15 minutes every morning and evening it is steel cage choas as the country buildings and two universities disgorge employees. I usually try to time my arrival to miss this period of mayhem. But if I do, I simply dismount and walk along the sidewalk for the two blocks.
Usually I'm still moving faster than traffic.
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This is Africa, 1943. War spits out its violence overhead and the sandy graveyard swallows it up. Her name is King Nine, B-25, medium bomber, Twelfth Air Force. On a hot, still morning she took off from Tunisia to bomb the southern tip of Italy. An errant piece of flak tore a hole in a wing tank and, like a wounded bird, this is where she landed, not to return on this day, or any other day.