Here's the finished the silk scarf. It's not perfect, but I'm happy with it overall:
I have a new rule - ALWAYS stabilize silk with fusible interfacing first. The edges raveled so much that I had to make the final size narrower than planned.
The lining is the same silk I used for the leaves.
The running stitches are more subtle than I expected. I tried for a sashiko style stitch but my hands automatically go back to tiny quilting stitches.