Going from 300 to 375 is dead easy, but its going to take you as long, if not longer than it took to go from 1 to 300. Even if your skinning orange mobs, you'll only get a skill up every 5-7 successful skins.
Realistically, you could level upto 375 on the mobs around Hellfire Peninsula, but it's not the most efficient way. The following is what I believe to be a more effecient way to level it up.
301 - 310
Hellboars around Hellfire Citadel in Hellfire Peninsula.
310 - 330
Ravagers around Falcon Watch in Hellfire Peninsula.
330 - 350
Talbuk's and Clefthoofs all over Nagrand. (you could just as easily continue skinning to 375 here if you want, as if wont take that much longer, than going to Netherstorm and skinning Drakes)
350 - 375
Netherdrakes around Stormspire in Netherstorm or around Netherwing Fields in Shadowmoon Valley or Raptors and Wind Serpents around Blades Edge Mountains.