How do you thwart Malekith as Skaven?

I'm playing Warhammer 2 on Very Hard as Skaven (Clan Mors).

Obviously I can't contest the dark elves so they've done their 5 rituals, however I have a level 40 Queek Headtaker and a full stack so I assumed I'd be able to win the Vortex Battle and stop Malaketh that way.

Well boy was I wrong.

My original army composition had 4 siege weapons, a mix of decent tier ranged units (Death Globes, and Poison Gutter Slingers), and a screen of stormvermin.

My army just got rolled over in seconds by massed spells and Dragons/Hydras/Cavalry that rampaged straight through my lines and destroyed my arty and ranged troops.

I tried to focus fire the dragons and the skaven range is so low that it just didn't work, they hardly seemed to fire at all before they were run over.

I swapped out all my arty and slingers with another stack and went in with just stormvermin, a couple of death wheels/abominations and a bunch of deathglobes. No better.

I then swapped out again going in with 7 stormvermin, 7 hellpit abomninations, 3 death wheels and a couple of ranged. This went better for a while but then all just collapsed.

So how do you win this battle? What army composition can Skaven field that even has a chance vs Dark Elves? I've never even seen Dark Elves in campaign (just been fighting Lizardmen and humans mostly) so have had no chance to practice.

I won it comfortably with both Lizardmen and High Elves on their campaigns so I'm a bit surprised by this.

Do I need to try and lift this stupid food situation out of starving for the few turns it will take to win the battle to get the leadership buff?