If you want to hurry the badge focus on the campaigns that have the columns for building your Hall of Heroes. When you get to 4 chars you'll stand a shot at beating the badge.
I'm going to quote myself from the original Sugar Sugar game Jan. 10, 2012
Everyone who is asking for a fast forward button and even for drawing tools is missing the point of the game. I think it's a safe bet that it will never happen.....
Sleeping is overrated u.u