A quality kuhkri is the first thing to pop into my head. Of course I don't own one...yet.
One blade? No way!
I would have a utility blade, a 6" or so hacking blade, and a hatchet/hawk in the least. In all honesty, I would probably have a scalpel in my pack, as well as skinning knives, as good clean cut pelts may make good bartering items in the winter.
You request is like dividing by zero, not possible with "real" numbers.
My RC-4...
I keep mine Sharp pretty easily with an occasional Stropping, when that fails I take it across my Lansky Sticks...I would have agreed, until I tried to re-sharpen on my own... pain in the arse