The second Survival was backbreaking. I agree with your analysis that Force of Will on Rootwalla was a mistake, but I don't know if your chances are much better after resolving Dack, particularly under time trouble. Your opponent has so many lines available with an active Survival, including stonewalling you with recurring Vengevines, building up a lethal Wonder attack, etc.
One other variation to consider is back on turn 1: you didn't really need to Probe as Survival is a must-answer threat almost regardless of the opponent's hand (the only time I might risk keeping Survival around is against a hand devoid of creatures, which is vanishing unlikely).
Holding back Probe gives you an extra monk if you draw a mana source on your next turn; your topdeck of Black Lotus gives you three chances to draw a mana source and play both Dack and Mentor on turn 2.