You can clear all drills with a full set of weak purple dolls. I just recleared it with an extremely weak team so I could give you all some proper advice.

>As soon as you can grab the health box on the field
>You can probably get it turn one with your Klukai but getting it on turn 2 or even turn 3 is acceptable
>Hit the switch on turn 1 to imprison the Aegis Swap Dominator
>Doing this prevents it summons from reaching you
>Any time spawns appear across the right bridge kill the Goliaths to damage/kill the entire spawning group
>This will happen twice, be ready for it - your Klukai can probably just throw her grenade and clear that entire group
>Focus fire and kill the Aegis swap in the first 5 turns to get the achievement
>You can either move a doll up close to reveal the Bulwarks (you can reveal them across the imprisonment gap) or just have your Klukai use her AOE on the Aegis Swap to indirectly kill the cloaked Bulwarks
>You can use the 3 pieces of cover on the far right bridge to fire down on the reinforcement spawns on the lower level, but you will need to move whenever the right bridge reinforcements start to spawn in so you can kill the Goliaths again

These are all non-meta units that I've used in my Frenzy 18 and 40 clears.