I don't think there is a level requirement, but at level one you will need to run from IC. I'm not sure about the drop either, but think they could survive. Both drops have areas where you can land like half way down. The first, and larger drop, has those slanted walls you can run up/down.
Best bet though would be to get the character down there and park it in the safe room, then just leave it there until you get the sword. The room to the right after you go up the first ramp has no spawns, and at least on my ench I've been able to sit there with a fully spawned LD camp and not get aggro.
Also, a lot of the dogs dont see invis. I've had a few occasions where I was able to run a character through lower dogs to spiders with just an invis, so you could always head down there and clear the see invis with your monk, and then move the alt down using an invis pot.
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