I personally did the challenge with the following:

1) Acorn Bomb (Sleep)
2) Off Guard (Off Guard )
3) Peculiar Light (Mag Resistance down)
4) Bomb Toss (Stun)
5) Level 5 Petrify (Petrify)
6) Song of Torment (Bleed)
7) Flying Sardine (Silence)
8) The Ram's Voice (Deep Freeze)
9) The Dragon's Voice (Paralyze)
10) Break (Heavy)
11) Addle

Basically... You can get all 10 ailments through BLU spells... I personally forgot about Ice Spikes >.>

As for strategy...

Act 1:

Put them all to sleep > Pull Bats with OG > SoT > Blow them up with Ram's Voice > Bristle > Dragon's Voice combo.

Petrify doggo > Spam him with Bomb Toss.

Act 2:

Ram's Voice > Dragon's Voice combo for massive damage vs armourdude
Silence armourdude's magitek armour thing spell
Freezy-cheezy the adds with Ram's Voice
(Optional: Use Plaincracker to blow them up... I forgot to equip it when I did it and just spammed Ram's Voice instead)
Sustain with Drain as needed