Sheesh, it seems I just cannot do Loremaster without finding atleast 1-2 exploits per zone.. Oh well.
First off, get the quest obviously - then find a Sable Drake and throw it in a Freezing Trap (Other CC probably works aswell)
Then just spam the ice beam, you'll get credit for each cast although the NPC doesn't really die from it.
Not that huge, but next time you're in Azshara this might save you a few minutes+frustration.
Here's a video of the exploit in action:
WoW Ice Cold quest exploit - YouTube