I guess it depends on what you're trying to farm. I spent 3 days in there farming the Deathcharger and got ridiculously lucky, but here's what I did:
Level Enchanting to 225. Best thing I ever did for myself, I seriously cleared about 3k gold in 35 runs through this place. I was planning on leveling it anyway for the ring enchants, but you will make mucho dinero off LBS's and GEE's that you get from disenchanting in here.
I specced "shockadin" build to make things go faster, but I wore my tanking gear (which, granted, is Tier 6, so I had about 800-900 spelldamage given the spec and gear).
Because I was just trying to clear to Rivendare as fast as possible, I went in through the Service Gate (back door), dodged the AOE packs at the start, then went to the Baroness's courtyard. There's one pack of 3 Ghouls on the right that I would pull, then dashed up to Anastari and killed her and cleared her ziggurat.
Then I'd backtrack to the start of that courtyard, run along the left side about halfway, dash across (between a crypt fiend and a pack of sorcerers) to the right side, then pull the banshee that roams in front of the 2nd boss, then dash up, kill the 2nd boss (Consecrate will handle his bug adds), then clear the 2nd ziggurat.
Avoid the trash, go into the gauntlet, Consecrate down the beetles, then pull the banshee in front of you and run to the fountain (there's one crypt fiend that might aggro you if you're standing on the fountain so be careful). Then run from the fountain straight to the pack of 3 Ghouls and kill them. Then you avoid stuff and dash to the bottom of the steps of Maleki's ziggurat and kill the 3 casters there (be careful because if you let them run up too far, or you move up too far, you'll have to deal with Maleki at the same time). Then kill Maleki and clear that ziggurat.
Run back down, back to the spot where you killed the ghouls, and run along the right side until you come to another pack of 3 Ghouls. Kill them, then dash across into the abom gauntlet.
The aboms are fairly straightforward, just don't pull them yourself after the first one unless it's been a while, this way you'll avoid having multiple pulls or having a long stretch of them with you being unable to drink. The aboms themselves really aren't that hard to deal with as long as you keep them spaced out so that you can drink when you need to.
When you kill the last abom, try to conserve mana, then dash up the Slaughterhouse steps, grab Ramstein as he's coming out, and pull him down to the Baron's doorway (it'll be closed, don't worry about aggroing him). Kill him there, then run back to the Slaughterhouse door and you'll aggro the Black Guard which have spawned there. Kill them and then the Baron's door will open.
The Baron is fairly easy depending on your gear level. I was able to kill him without having to heal or mana pot, but you may need to, so be prepared. Despite him only being level 62, he can still surprise you if you're not paying attention

If you have to heal, being Holy specced helps a lot here as you can imagine. You can run Shadow Aura if you want, I ran Sanctity Aura since I had it... and of course if you need to heal just toss up Concentration Aura. The skeletons that he summons will die easily to Rank 4 Consecrate (1 tick) so him healing won't be a problem as long as you pay attention to your mana and leave enough to ensure that you can handle the skeletons when they spawn. I tended to judge Wisdom for this but again, it's going to depend on your gear and spec. (I did fight him the first 3 times as Protection before I decided to spec Holy for the speed value, so it is doable as Prot... just takes longer although your risk of dying is much lower).
I eventually got this route down to around 25 minutes, my best time was 22 minutes from start to Baron down. If you're also trying to farm Argent Dawn rep, doing it in less than 45 minutes will net you extra rep.
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