I believe there's only one combination of cards that can get you a 4 turn victory with this deck.
You'd have to go 2nd and have:
4 Emerald Towers, 3 Giant Frogs, and 1 Long Sword.
...then draw 3 Giant Frogs for your next 3 turns.
That will put your total damage at 104.
You go 2nd and your opening hand is:
4 Emerald Towers, 3 Giant Frogs, 1 Long Sword
(1)
You play the 4 Emerald Towers -> 1 Giant Frog, 1 Long Sword.
You end the turn with 2 cards (Giant Frog, Giant Frog) and 6 Life Quanta.
[You have in play 1 Giant Frog, 1 Long Sword] -> 11 damage -> 89 HP remaining.
(2)
You draw a Giant Frog.
You play 3 Giant Frogs.
You end the turn with 0 cards and 5 Life Quanta.
[You have in play 4 Giant Frogs, 1 Long Sword] -> 26 damage -> 63 HP remaining.
(3)
You draw a Giant Frog.
You play 1 Giant Frog.
You end the turn with 0 cards and 8 Life Quanta.
[You have in play 5 Giant Frogs, 1 Long Sword] -> 31 damage -> 32 HP remaining.
(4)
You draw a Giant Frog.
You play 1 Giant Frog.
You end the turn with 0 cards and 11 Life Quanta.
[YOu have in play 6 Giant Frogs, 1 Long Sword] -> 36 damage -> 0 HP (-4 HP) remaining.