Chris Reeve Sebenza Large with Insingo blade. It is essentially the Chris Reeve Backpacker, but it folds. Get the Carbon Fiber front one that Knifeart has from time to time and it is super light as well. If you intend it to be for hard use, make sure to use it with the 20 degree grind that it comes with. (for slicing grind it to 15 degrees with at 20 degree edge - using a Sharpmaker - making sure to use the CBN stones to grind it down or it'll take you a century)
I would recommend Gransfors Bruk Scandinavia (European) forest axe for any real wood splitting. The head is the same weight as the smaller hatchets, but the handle is long enough to use (and stick on the side of a pack). Never had the need to baton, but I've had plenty of need to chop down a tree, chop up and split wood, or chop up a tree blocking the road when in a vehicle.