As others have mentioned, if you are "taking the lane", then one or two wide doesn't make any difference. It would be tight to pass a cyclist riding along the edge.
Is 1:30 PM on a Sunday afternoon considered "Rush Hour"?
To me, this is a case of poor municipal design. With the convoluted neighborhood roads, it funnels everyone onto the main roads. And, the main roads aren't made bike friendly.
One thing that would help would be to put bike routes through all greenways, and along all rivers and streams. Plus bridges as necessary. The city seems to have some, but not a lot.