Are you saying to bring the underside edge of the quilt fabric over the top side of the quilt and binding to the top? I actually have done it when I was running short on material and I liked the added flavor.
The only issue I remember is turning the corners because I haven't perfected that art yet. I just pinned, looked, liked or didn't like and repeated the process until I liked.
Can't wait to see pictures, please.
On this baby blanket I folded the topside over and binded it to the back. Your idea would be the flopside but I think it would be pretty.