Interesting idea, but it sounds expensive and very awkward (and stretchy) to make what with long strips of many multiples of fabric.
How about this idea. Find a block you especially like that is made up entirely of half square triangles. Now, blow it up to quilt size and replace each HST with a log cabin block. This is what Ocean Waves looks like, for instance.
It's still a quilt with a single block as the design, and log cabins as the unit...and no hassle matching points! :lol: Just thought I'd throw it out there for you to think about. I love log cabin blocks.