I have seen this quilt done with an E2E and it really looked good. The pattern and contrast stand on their own and the quilter used an all over swirl design done in a light weight thread so you only saw the texture. So don't entirely rule out an E2E panto. Here is a link to one I found with an E2E that is a swirl.
http://zanyquilter.blogspot.com/2012/12/pattys-labyrinth-quilt.html
And here is one that has e2e spiraling squares. https://www.pinterest.com/pin/421438477601344686/<strike></strike>

I never posted the finished quilt.