How about a ball instead of a quilt?

Pentagon Ball

And depending on whether you want to bring in a contrasting color, you could use them in Hashtag:
https://www.youtube.com/watch?v=HQsb...EF21A981F69C28

Or 'reverse' the Four Patch Frenzy, using your fat quarters instead of the patterned fabric Jenny cuts from layer cakes and color instead of B&W in the 4-patch
https://www.youtube.com/watch?v=i__0...69C28&index=17