If you leave some extra batting/backing beyond the edge of the quilt, you can still do your seam 1/4 from the edge so you don't lose the design. You would just have to experiment with different widths of binding and extra batting to find the look you want. For example, if you cut your strip 3" and fold in half, use 1/4 seam, you will end up with 5/8" binding, so you could cut the batting larger to accommodate it. Practice with scraps and write down as you go to keep track of what works.