Interesting, and a great way to use scraps! Might be a bit much if you didn't use sashing, though?
I have a suggestion. Take your two blocks of strips, like you have in the first picture. Put one block face up with the strips going east-west. Put the second block face down on top of it, with the strips going north-south. Sew a quarter inch around all 4 sides. Then cut it in a big X. You will get 4 blocks.
This is basically how I made this quilt, although I alternated light and dark strips.
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