I have had good service from small scrapers made from old saw-sharpening three-square files. They are made of good steel and all that is needed is to grind off the teeth, and hone on a fine oilstone. If you want to be clever you can grind a groove along each face between the edges, and this helps to ensure that the honing does not produce a domed surface.
If the grinding causes bluing it is easy to harden the end, and draw it back to a mid straw, before the honing process. And by honing, here, I mean a final smooth finish with a fine stone or wet-&-dry.
Do the same with both ends, and put a cork firmly over the end you are not using.
Regards, Tim