I do multiple strip sets. With the bargello colors going up and down, you will file that say fabric #1 appears several times at the top. So does #2 and #3 and so on....but not all colors will appear at the top.
You will have to sew as many strip sets any way you do it...it is just easier to me to sew the sets in order as the will appear in the quilt so some of them. You won't have to unsew any seams in those set.