Early
Better played with Guinsoo's start
Play any opener you get, and slam guinsoo's on whichever unit you've 2-starred. If possible go for a winstreak, since we won't be needing carousell prio.
Mid
Ideally if you get a Kalista switch Tristana's items to her, if that's not the case, look to play a board decently strong so you can transition later on.
We need to have as much gold as we can, for next step
We need to Rush lvl 8 ASAP no matter what, even if we break leveling intervals. With multistrikers on the rise at least 2 people are going to be looking for Kalista. So we need to be the firsts to find her.
Rushed LVL 8
As soon as we leveled up, roll for at least a copy of Kalista and Rakan to activate 6 faeries. While you are rolling, pick every 4-cost unit you see the ones you need, since you'll be the first person rolling at lvl 8, most likely there will be not that many 4-cost out of the pool, this way you'll increase the chance of getting your units.
Board shown above would be Ideal if you hit it, but you could play Akali instead of Camille and Seraphine instead of Milio until you get them.
Though may not seem like it, Rakan with 6 faeries is way tankier than you'd think, so he could easily get you to stage 5 no probs.
But is always better to have your Rakan + Kalista at 2-star
Final board
Clump your useless units to grief Akali's ult from those playing Multistrikers and to also grief Briar's ult, for those playing Shapeshifters. (Milio will cast once and his job is done, we all hate Milio as a 5-cost, just let him die. That's what he's best at)
Regarding the Shapeshifter problem, you can give GS to Kalista and LW to Camille or Hecarim.