For psychic immunity? Play against ForceMaster? It's not something you can really "exploit" right now.
From what I've seen, you can leverage zombies two ways:
Beatdown zombies with Brute, Unstable, Shaggoth, and Frenzy. Feed Crawlers and Minions to Sac Altar and reanimate like a boss. Ziggurat can help push through stalemates.
Mass poison with IoP, Tower, Deathlock, Rot/Venom Zombies, and Plaguemaster.
That's what I've got.