Usage of mana is extremely important in this battle, that is why reshuffling, healing and playing the correct amount of cards/mana each round is critical.
Healing will be used mostly for control and for covering 2 mana, whenever you can. If you have control, I recommend to use your power instead of a 2 mana card.
The brewmasters are saving your entire game in this match up against the "Ticking Bomb", simply put them back in your hand. ALSO <IMPORTANT !> the brewmasters can be used on each other to make you lose mana points and avoid receiving damage.
Thoughtsteal will also prove highly important later in the game.
The rest is in-between the lines :) . Best of luck and let me know how it goes !