How to beat Resilient?
Officially anything that adds Burn (many Fire/Dark spells, ideally via point-saving Tower or Thoughtspore)
And rare highly situational spells (Chains of Agony, Force Crush, Hawkeye Psyloks, Demonhide Armour etc)
The Priest is great with his access to Light sources (Staff, Angel, Temple, attacks, basic melee) and Burn
In my very limited experience, the reality is you either
(1) fight Nonliving with better Nonliving
Devouring Jelly and Golems beat Zombies
(2) avoid the fight
Vinewhip Staff on that 6 Growth Shaggoth Zora?
Steel Wall with Hawkeye Sniper on an Archer Tower? (with Regrowth vs. Pestilence) - just like Zombieland
Eagleclaw Wings
Suppression Orb + Mordok's Obelisk as far away from the source
Fast (and Elusive if Brutes) and Teleport Wand works until they Frenzy...
(3) distract them
Plants are very cheap to vine pop-up, guard to trigger Bloodthirsty (yeah, I know, think of it as Viciousness)
Hydra (with 1 damage from Pestilence taken after its Regen!) with Rhino Hide and Bear Strength, perhaps in a Sacred Fortified zone
In reality, I believe only the 5 non-Pest Zombies (4 Brutes, 1 Shaggoth) are good
Maybe 1 Plague Servant + Sacrificial Altar to leverage Eternal Servant and Plague Master
Otherwise the concept of a Slow/Lumbering Pest Swarm is flawed vs. competitive builds
I am sure there are lots of other innovative ways to beat the Zombies.
I've only played against them once, with them once with above non-Swarm build, so very limited "proper" play recently.
But despite this lack of experience, I thought I'd chime in with some practical ideas.
Anyone else want to add their solutions to help the OP?