I would probably take the green line, but you said that didn't work for you. Taking the red line is the proper thing to do as others have said.

Me, I'd probably find a back road and avoid it all together. I wouldn't do it, but if you ride erratically (weaving across the entire lane) the cars may give you more room. As seen in another thread, put on a safety vest and may they'll think your a LEO.