Azjol-Nerub
If you can get a group to run Azjol-Nerub with you a few times, with you as the only Skinner, you'll make quite the profit. The skinnable mobs there have an average drop rate of about 25%.

In Icecrown, before you start questing...
Upon entering Icecrown, your first stop will likely be the Argent Vanguard, a mid-size outpost with several quests available to you. Before you begin these quests, or at least, before you hand in A Cold Front Approaches, start farming the mobs around the camp. Once you hand in that quest, you phase out permanently, and all wow gold of those spiders will be gone.
You will also notice that you can kite groups of mobs to the town guards for quicker killing. Just make sure to use some AoE to tag each one, or you won't be able to loot and then skin them!

Another good spot is a little further north, around Scourgeholme. Both of these spots have high respawn rates, making them ideal.

Zul'Drak
Many of the mobs around Kolramas have a chance to drop chitins when skinned as well.

Borean Tundra
Just outside of Warsong Hold, you will find plenty of skinnable mobs with high respawn rates, that are frequently being killed by the questing Horde.