We have an extremely active trail maintenance organization where I ride. Stuff gets cleared fast here.

If you are packing light though, why not a folding wire saw? They take a little bit of practice but they cut fast. In my experience, they work better on dry than wet wood but will cut either. If you really want to get crazy, it wouldn't be hard to fashion a bow from sticks in the forest if that helps.

Cheap and light enough to carry 2, and always have it in your bag