First of all, the synergy looks great in the non-symbolic match. There are almost no overlapping champions, which is a plus.
6 Fortress: Poppy, Lillia, Nunu, Shen, Hecarim, Taric (at level 9, replacing Nunu with Diana when you hit level 10 for a clean transition; therefore, Nunu is less useful than Lillia).
Kalista, Akali, Fiora
Once you find Fiora at 2 stars, the game is essentially over.
Currently in the meta, Kalista is somewhat overlooked, so it’s easy to get her to 2 stars with little money.
Take your reroll timing at 4-2. After finding Kalista, Fiora, and Taric, transition to 6 Fortress with Fiora and Kalista to scale up to level 9 with Akali.
Once fully set, you can potentially secure a full win-streak by round 5. If it's late, you can hit level 9 after round 5 creep, and entering with Akali should keep you in the top 4.
As everyone knows, Kalista is the Grim Reaper that defeats Vex.
If you hit Diana at 2 stars, you're in for a chance at first place.
Kalista also has many vacant houses, so she tends to hit 3 stars well (I have hit Kalista 3 stars once in 8 games).
Even without combat augments, usually, you can still secure a 2nd to 3rd place.
I verified deck power with 8 consecutive wins and used it in my matches.
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After writing this, I climbed back and got 2nd place again.