Havalon Piranta-Edge knives have replaceable blades, which you can buy separately. The idea is, as you're skinning game, and you need to sharpen your blade, you simply replace it. The blades are quite sharp (the concept arose in medical scalpels and for taxidermists who do lots of trimming) and last quite a while. To use it without the handle, I'd dull the back 1/2 of the blade and wrap it in tape for a little better grip.
If anyone wants to try that, I have a large pack of the blades (blade part number 60XT), new, in the wrapper, which are 2 grams each. PM me your mailing address and I'll throw one in the mail to you. Yes, I'll extend that to overseas folks, too, but I might fake my return address, not knowing the legality of shipping sharps to different countries (I note STP won't ship knives overseas).