If I were you I would paper piece (or other foundation). You can even draw the lines yourself on paper and make as many copies as you need - that way you'll have wide and narrow stripes just as you like it.
ahha ... looking through her blog closer, at the end I found this sentence
"After making all these blocks my sewing room was an absolute disaster! There were stacks of fabric, piles of scraps and bit of torn foundation paper everywhere! "
so yup ... she paper pieced them.