Whichever of those two you choose to do you'll still need the other as well, as a woodworker, you'll be able to make your own bows and arrows. Also totems and a varietty of other items. As an alchemist, you'll be able to craft your own potions but more important, your own poisons.
Your best bet would be to make an alt to handle the crafting option you don't choose for your main. A crafting mule will let you have both those bases covered... Course you'll still need weapons... and armor... and spell upgrades... and...