A fairly straightforward method to having this trigger without having to worry about timing too much is to build a deck that triggers around Soul Absorption.
Once you get a card down like Macro Cosmos, any time you play a spell that eliminates something, or remove any cards from play, or trigger a NecroFace, you'll get a Chain trigger. And, if you have multiple Soul Absorptions in play, you get multiple chain triggers.
As always, substitutions are necessary for many due to the painfully random acquisition of cards from packs, but a general frame:
Your "These belong in every deck" cards: (aka the truly unfair cards)
3 x Pot of Greed
3 x Harpie's Feather Duster
3 x Raigeki
3 x Graceful Charity
3 x Soul Absorption
3 x Necroface
3 x Gold Sarcophagus (Grab a Necroface and trigger it then play it to replenish the engine)
3 x Macro Cosmos
2 x Banisher Of The Light
3 x Gren Maju Da Eiza (Not really part of the engine, but hulk smash, can easily get above 10k) Golden Homunculus is a fair substitute although he requires a sacrifice to get in play.
1 x Pot of Desires (You'd think you'd want to play more, but it's a one shot trick for the most part. Too many saturates the plan.)
3 x Mystic Tomato
2 x Sangan (won't work once Cosmos or Banisher are live, but helps you get there)
2 x Allure of Darkness (to use Tomatoes and Sangans post-Cosmos)
1 x Dimension Fusion (Follow up with a Raigeki to clear a path for your Gren Maju)
2 x Foolish Burial (Grab Necrofaces for more triggers post Cosmos/Banisher)
It's a functional deck and it will make this achievement move like a breeze. Plus, Gren Maju is just smashy face fun.