I really liked The Badlands of Hark when I was a kid. I never beat it, but twice I worked backwards to find the path. I got an old used copy for my nephew yesterday and decided to revisit the Badlands.
Here is every possible path you can take through the book. Apparently there is no way to beat the maze AND win, but maybe you can find a way…
Enjoy.
Stine, R. L. 1985. The Badlands of Hark. Scholastic Inc. New York, NY. (ISBN 0-590-33772-6)
The eel of Science 
I’ve been through this book several times, though not recently. I could have sworn I made it through the maze and won. It’s been a long time though.
I kept thinking about my experience with the book and, yes, you are certainly right about the maze. It’s part of what made it a great read.