Martyr + Vizier + Corpse Collector + Brogni + Rhazin was my 2-key unm comp until I got Lydia.
I see you have Martyr, Vizier, and Rhazin. Do you have Corpse Collector unleveled? If so, she makes a great Leech + Poison champ. You don't have Brogni from what I can tell, which is super unfortunate - he's really great for CB. In his place you'll need someone else with block debuffs or cleanse. You could use Doompriest but she's much, much weaker. Do you have anyone else that I'm missing? Perhaps someone unleveled, like Mausoleum Mage or Sepulcher Sentinel?
Also as an aside, you might be able to finagle an unkillable comp somehow. I see you have one Maneater and a few other champs with 1-turn unkillable/block debuff. Might be something to consider.