When I started doing 18th century living history a few years back I took an instant dislike to tomahawks. Didn't chop well, handle too skinny and long, it tends to turn in your hand as you work. Everytime I tried throwing, I couldn't get out of my head what my Daddy would have said to me if he'd seen me throw "a tool". :-)
Turns out that I just didn't understand the tool. You don't muscle a hawk, you use the long handle and head speed to generate force, just like a golf club. That also keeps the blade lined up much better than if you muscle it. I keep mine razor sharp, and it will walk through the poles and small logs it was designed to cut. I found that my desire for a hammer poll was based on modern camping needs of driving stakes, I don't need it otherwise and I quit carrying polled hawks. I've also developed a strong preference for the narrow bladed hawks like those traded to the Indians, they bite deeper and cut quicker than the wide ones for me.
I carry mine in my pack when wearing modern clothing, in 18thC clothes I carry it stuck through my sash in the back with the head on my right side. Either way it has a small leather edge guard fastened with a small thong around the back of the head. The guard is just to prevernt getting cut by grazing the edge, it's not made of heavy sheath leather. Works great.
Just my two cents,
Bob