There is so much you can do fairly easily on a project this size, even with your feed dogs fully engaged. Arcs/chains that go around the four patches are no big deal, even if you can't do a tiny little swirly within each square so well.
Unfortunately, quilting design is always a challenge to me more than the technical application.
I'd look at ideas for Double Wedding Ring quilts, whether it is a grid or a spider web in the center, Basically you quilt/draw the wedding ring shaped grid over your 4-patches. You can hoop some details, either in the wide part of the arcs or the wide parts of the center once you outline the areas/or hoop the areas first and then do your work to do the overall connections and fixes.