I'm not sure that boxing is going to speed up your farming rate especially at lower levels. You'll be restricted by the respawn rate of the groups you're downing. I think it might be just as efficient to have one toon level killing the mobs while skinning / lw. As for your original question for leveling skinning, you might try these places:

Barrens / Wailing Caverns - lots of packs of mobs in barrens, WC has a bunch of raptors and such.
Strangelthorn - lots of skinable animals everywhere
Sunken Temple - lots of dragons
Hellfire Peninsula and Nagrand - good packs of boars in Hellfire and lots of skinables in Nagrand
Borean Tundra - mammoths everywhere
Storm peaks - more mammoths

As for leveling LW - good luck. The sheer amount of mats required to level LW is crazy. It's on par with engineering if not worse at lower levels imo.