I'd think that wide bevel would be a natural for wet/dry sandpaper on a hard, smooth backing, like glass. Just lay the scandi bevel flush on the sandpaper, and use an edge-trailing stroke. Using the sandpaper wet would work best, I think, and it'll help the paper cling to the glass. Something like 220 - 400 grit would do the job fairly quickly. Select a higher grit if you don't want heavy scratches on the bevel, though it will take a bit longer. You CAN use an edge-leading stroke too, but you'll need to be much more careful to avoid cutting the paper. That extra bit of caution can be a good thing, as it'll really make you focus on keeping the angle just right, and the pressure light.
Could also use a slightly curved backing in the same manner, to better reach that little bit of recurve in the blade. Any large cylinder would work, like a large pipe, jar, etc.