The best way for a starter edition account to get [item=4406] is to take the zeppelin from Orgrimmar to Stranglethorn Vale, use the Gnomeregan teleport there and just keep killing the trash or skipping them somehow to open the [object=19019].
The box is located in 2 places: First one is in the middle, right in front of you up there when you enter the dungeon, you'll usually see the box and a chest to open, not recommended for someone without a stealth or with high skill (if you figure out how to skip certain types of mobs). The 2nd one is the one you wanna go for, it is located right where Grubbis spawns, the first boss of the dungeon (but he's not there because you have to start the encounter, so you're good), go there, clear the trash (or not, depends what you're capable of) and keep opening the box. It took me 40-50 tries, it is 1% after all.
An efficient way to do this, is to kill the burrowers and skip the casters. You have to worry about 1st 4 encounters. Don't worry about the small non-elite patrolling mobs, those have low damage and die easily. So you're gonna encounter 4 elites. 1 + 1 + 2. first 2 mobs are alone, can pull them separately, the 3rd one is a group of 2, really rarely you can separate them, but don't rely on that. So kill first 2 mobs if either of them is a burrower. Kill all 4 of them if the 2 that are standing together are both burrowers.
After this just run through everything and heal yourself on your way to the box, you can normally open the box if you time it well, doable even if 2-3 mobs are hitting you. The casters reset if you take them far way btw, so don't worry about that.