There is an alternative way that I just found out.
Fairy Corronation + Gluttonous Fairy.
Fill your deck with cards that remove themselves, but leave a heal or two intact, alongside a draw+discard card.
Step 1- Use Fairy Corronation to create 2 cards
Step 2- Use Gluttonous Fairy to remove the cards Fairy Corronation made (you will get 30 Height basically free)
Step 2.5- If you want to scale off of Fairy Fire, use the Fairy Queen to boost its damage, wait for another turn to use Gluttonous Fairy
Again, not necessarily faster, but certainly beats discarding over and over again, if you ask me.
P.S: Bonus points if you can keep up both loops at the same time.