Wow, she's a beauty. You could just parallel stitch along some of the straight lines, much easier than SID. How about 1/4" outside the brown sashing from end to end, then around the tan block in the corner, then around the side of the tan/white four patch, around the next tan square, giving you a diagonal zigzag on either side of the squares. Clear as mud, right?? I wish I knew how to "draw" on a picture. I can see what I would do, but I don't know how to tell you! But I definitely would not do a meander.
whatever you do, show us when you're done!