edge gluing more wood onto butcher block countertops to make them wider?
Maybe you could stand a piece up and create a backsplash on the back side against the wall? Or if you are worried about the glued piece snapping off, put it on the back wall side and glue it there. Thats how butcher block and cutting boards (unless solid slab) is made by the way, they glue pieces together and clamp tight. If you attach tot eh back wall side, you could pre-drill holes and use screws instead of clamps. You have lots of options.