I don't know about New England, but we definitely have corn mazes here in Michigan. Incidentally, there's an algorithm for solving a maze (assuming the entrance and exit are both on the exterior of the maze).
Obviously, that's not going to get you to the exit in the shortest possible time, but it guarantees you do eventually get there. I did a corn maze that way last summer, and my friends and I were the only ones all day who solved it without having to "cheat" and look at the map. (They gave us a map in a sealed envelope, and you got your money back if it was still sealed when you got to the end).
Of course, for some people the systematic approach takes the fun out of it.