Back before we figured out how to solo this with a bard, we would tank each of the Zeks. Need 2 pullers, a tank, and a few healers.
Open the door, run ahead of all the zek mobs. Have a bard grab all of the council members and drag them up to the last room and kite them in circles. Everyone else run up to the final hallway past where RZ spawns (without aggroing any mobs). Wait for TZ and VZ to spawn and kill all of the Rathe mobs.
Once the room is clear, have a 2nd puller grab TZ (since he dispells). Both zeks memblur, so it can be a bitch to pull, but doable. Drag TZ to the tank, and once he has aggro have the kiter come down and drop the council members on TZ.
When TZ is dead, have the bard reaggro the council members and drag them back to the last room. Rebuff if necessary (you'll prob need it for RZ), have the puller bring VZ, repeat previous step.
When RZ pops, wait for him to path up the hallway, have the tank aggro, drop the councilmen on him, wait for him to die (always preferable to kill the tank at this stage, just for giggles), collect loot.
We were doing this with a T5 paladin and 4-5 healers last summer. Haven't done it since the nerf, but from what I understand of the mechanics changes it should still work. YMMV.