Here's a youtube video I found of a guy speedrunning the winter levels. This is from the steam version. His total time is 7:54:42 so either this achievement is tight, or it wasn't the best speedrun. Either way, this should be a good start to getting this achievement.
The only real tip I can give you is that you don't need 3 stars for each of these levels. You can shave off time by sprinting past things, even if it gets a few zombies killed. As long as you pass the level, the time at the end will count.