When you enter Anzu's room there is a coffin to your left. is that to LoS the groups. You'll find either groups with a Talon lord or a Kaliri. (spelling?)

Entangle the Talon Lord and pop Berserk and and barkskin and go nuts. kill the Prophets first as they fear and leave the Shaman to last.

If it's a kaliri group then entangle the Shaman and hibernate the bird. Never be afraid to use you CD's otherwise it will mean certain death.

I first did this as a cat spec in heroic and normal instance blues so it is certainly doable but you need to use everything to your advantage. If you stealthed you're way to Anzu without killing other bosses (you can run around the wall on the first boss to avoid him) the Heroic instance will reset if you die and can be very frustrating if you died on Anzu.

Do NOT be afraid to wait 3 minutes in between pulls for your CD such as berserk and regeneration. Also remember to use Natures Grasp if a entangled mob gets free and you need some breathing room.

And lets not speak of the trickery needed to Anzu.

Sorry if it looked hasty. Might be in the middle of a Heroic but i can't ignore a druid in need. :P