I agree with no quilting in the sashing, it looks fairly narrow anyway.
Question: The pic you showed has several blocks that are a solid cream color. Will you also be putting a solid color fabric in those spaces or will all blocks be bright Asian florals?
If you are doing a solid a hand quilted Sashiko type design would be striking.
I would definitely SID or 1/4" from the ditch to give the blocks definition. I am a big fan of outline quilting fabric motifs. I think that would work well with large flashy florals. For an idea of what I am talking about here is a link to a quilt I made where I outline quilted every cat in the batik print in the border.
http://www.quiltingboard.com/t-22344-1.htm