This is probably the hardest challenge you will face. If you get hit one time, you need to start over.
To do this challenge successfully you will need to master the art of dodge.
To get the "Fist Full of Rage!" Achievement, I used the Oodoo costume( the zombear naughty works too), on Night of the Dodging Ted. The zombears will not attack if you don't, now get the deadbook page and destroy it to go on. Next, head into the bushes and wait for the zombers to kill off the army bears (it gives you points still). When you get to the final zone, let them kill Nibbles(i'll put the link in later), if Nibbles trys to escape, scare him and hide(or destroy the boat and car). Now get to the hut away from the bears as possible. And there you go!