The scarf is finished! I washed it in the sink with warm water and dawn dish soap. After letting it almost dry, I used a dry iron and gave it a hard press. I am very please with the hand of the scarf. It feels like slick butter and has great drape.
I think changing the tabby from the Bambu to the silk was the trick. The samples I have done for my tied weaves study group will work great for a table runner. They don't have quite the drape I like in a scarf.
Here is the purse that inspired the scarf!