This build isn't going to compete with the warrior variants, but it can be done!

Problems Faced (also: how to die fast):
Through Lornar's:
Dreadnaught's (arriving from Lornar):
Down the Snake Dance:
Stats:
12 Tactics
16 Illu
4 Fast cast
Charge {E}
Balanced Stance
Illusion of Haste
Illusion of Weakness
Hex Breaker
Inspired Hex
Healing Signet
Distortion
Equip:
FFS + 18% enchanting
+45 / -2 in stance carapace shield
The run:
First note is keep IoW up at all times, so cast that and heal up. The first enemies to pass are ice imps and pinesouls: use Hex breaker and charge to run past, inspiring mind freeze if there are two imps. Rapidly get safe on the clear area (using IoH to boost speed if charge isn't enough to get you clear).
I'm assuming you already know the basics of the path, so I won't go so in-depth.
Proceed south, avoiding all contact. It is highly likely that near the south tunnel (which has 1 avicara patrol) you will meet Frost Wurms... when you are in front of the avicara, use Balanced stance and charge to get past them. The guile will rip enchants, so don't try IoH until you're clear and need it to break aggro on wurms.
From there on, it's as simple as following the path, using IoH as speed boost. Reserve charge for grawl crones because they remove enchants. Try to keep IoH up as it will allow you to leave wurm aggro spheres much faster. Balanced stance is a counter for Wurms.
Generally in Lornar's, you should try to avoid as much aggro as possible. The only thing that pose a risk, besides wurms, are large amounts of mobs (run past with IoW, IoH and distortion/balanced), and things with snares. Ice golems can mainly be avoided, if you cannot get past them use hex breaker to take their deep freeze while you keep running.
Dreadnought's is a little tricky, but mainly follow the previous patterns. Avoid heretics at all costs, you can generally find a way past all of them. Keep IoH, IoW and distortion up for the summit, and balanced up for the tundra giants, which can hit quite hard.
Snake dance is a free ride. Use IoH to run the entire thing, tossing up balanced whenever you need to pass tundra giants / azure spectres / summit dolyak riders (at end). Remember to stop and recharge whenever possible as you never know when you might need your stances again.
Sorry I can't give further detail (because I basically ran the path impromptu and I don't know all the important things to watch out for). Any questions, just leave a post here.

I can't wait for the day when we see people posting "LF Mesmer Drok runner!" in Beacon's Perch! 
atleast mesmer can deal with both that AND cripple...