In the end you could have both.
I recommend levelling with blacksmithing (the most annoying profession to powerlevel if you start late in the game), and level as arms (you won't have enough hit chance to do well as fury).
When you're lvl 70, with 375 BS, making rare recipes for people for a few hundred gold a pop for your nethers, you can chuck mining and pick up alchemy and buy all your mats.