It would certainly be a challenge to work with. I have some pre-packaged fleece type binding that looks manageable, but I haven't tried it yet.
Like a previous poster, I have pieced cotton binding horizontally when I just didn't have a wide enough piece. it wasn't for the whole length of the binding. The piecing went on the inside and didn't show at all. I was surprised at how well that worked. Nobody else knew the difference!