"Carry it camping". That covers a lot of territory. IF you are referring to backpacking, I would go with the Fiskars or Estwing hand axe. IME, most places you backpack into have an abundance of deadwood available for fires. Anything bigger is just dead weight.
OTOH, car camping at a public campground is where a maul really shines. There is absolutely no wood available at most drive-in sites, and I've come across
unsplit logs, many a time, which merely needed splitting, to become viable firewood. Go with a decent maul, I used to carry two, in the back of the truck, because you break a handle, now and then. Never got out the full size ax much. You may want to look into a 36 inch bow saw.(FISKARS, again) YMMV.