I think the easiest way to SID would be to follow the actual diamond shapes across and diagonally.
I would follow them from the lower bottom and stitch up in a zig zag pattern going all of the way up to the top and then come back down in the same manner, getting the opposite sides.
Do the same on the ones going horizontal, across one way and turn back getting the other sides.
There would be minimal manipulation of the quilt and you could outline each piece this way easily.
Unless you stay exactly on your stitches while backstitching, it would show up on the back.