Thanks for the suggestions (and please keep them coming!)
To clarify: This is not really a farm as much as a homestead (kind of like the Dirt Patch Heaven or jnull0 channels on Youtube). I'm not sure of the exact acreage for the areas I use routinely, but it's big enough that walking back for the "right tool" can easily be 25-30 minutes round trip (and no, I don't have a vehicle to drive around the property).
I always try to be well-prepared, but a lot of "incidentals" come up in this sort of setting. And although I definitely have plenty of specific tools for specific jobs, it would be nice to have an EDC knife for general purpose stuff, like light hacking (e.g., cutting down the odd sumac or two), splitting boards (e.g., making short stakes out of 1x4 ends), and sometimes pounding.
Basically, I guess I'm looking for the smallest knife I can find that will do very light hatchet work.
I'm under no delusion that it would be as good as having a real hatchet or machete, but then, the pliers and screwdrivers on my Leatherman Skeletool have been good enough to save me numerous trips back to the toolbox for the "real thing," and that's all I'm looking for in a knife right now.