On my Orc ive changed up a bit. I don't use regular weapons, and no enchantments, also no shields. I can proudly say I have killed a dragon with a knife and fork duel wielded(on novice). A pick ax(adept, but just barely) A shovel (adept). And I just got done killing Alduin with my fist while wearing gauntlets (the armor to damage rating perk was used. Done on master.) with a level 40 Orc, full legendary deadric armor.
I haven't killed a dragon with a wood ax though. I'll get on that tomorrow.