I started quilting with Seminole piecing. Your problem reminded me of that approach to strip piecing. Hope my idea helps.
There are lots of approaches to solutions. The Seminole piecing books had solutions that made sense to a neophyte quilter/experienced garment maker. And were easy at the same time. See what you think. May ring a bell or two for you too. I hope so.
Just checked my library of books. The two that seem to be the most help are:
SIMPLY SEMINOLE Techniques and Designs in Quilt Making
Dorothy Hanisko
The Quilt Digest Press
Lincolnwood, IL
Copyright 1997
THE COMPLETE BOOK OF SEMINOLE PATCHWORK
by Beverly Rush with Lassie Wittman
Dover Publications, Inc.
New York
Copyright 1982
I suggest you start by looking at SIMPLY SEMINOLE. I found Section Two, The Catalog of Seminole Designs to be particularly helpful and CLEAR. Check out the STAIRSTEP BANDS part of the catalog.
Pictures of the finished project so we can ooooh and aaaaah?
Pat