This is kind of common sense. Just trying to share.
Go to Sholozar Basin and get the quest for 'Securing the bait', near The Savage Thicket, where you have to collect Primordial Dragon Hatchlings. One option to get the hatchlings is to break the eggs. The eggs have about 5700 hp and none of the drakes around you will attack you while you punch the egg.
I've raised my unarmed skill from 33 to 380 in only a few minutes. Just target the egg and have your toon punch/stab the egg and walk away for a few minutes. Come back and do it to another one. The eggs also respawn really fast. If you have coordinates, I used the eggs around the tree at 45, 30.
Plus, if you raise enough skills to 400 you get an achievement.
Hope it helps someone out. :wave:
Edit: You don't need the quest to attack the eggs. I was lvl 76 at the time.