Rugged Hide is the highest level hide that can be skinned from beasts between level 55-60 before the Burning Crusade. There is a few good places to farm rugged hides which may depend on your preference or server, if you are playing on a PvP server you may bump into some people who would cause some trouble and interfere with your farming. To prevent a gank war you may want to farm at the instance, Dire Maul North. There are beasts in the instance that has good drop rates. You don’t have to run the whole instance, just the first room. So running and clear the first room and reset.
See below for maps to farm Rugged Hide.