The Hayling Islands Maze was solved by Lee M Kaplan, Fred Curtis, Joseph DeVincentis, Tim Firman, Al Stanger, Jukka-Pekka Ikaheimonen, Jan, and Robert Abbott.

Robert Abbott's write-up is here.  His page on rolling block mazes is here.

SSSESEEENWNNWNWNWSEENEESSWSWWSENNNWNNEESE (41 moves)

SSSESEENNENWWNWNWS (this brings you to one space below the start, on end)
EENEES (this brings you to one space below the goal, on end)
SWSWWSENWSENNEE (this brings you to two spaces below the goal, on end)
ESWNN (on the goal on end)

Good Puzzle!  I went about this by only keeping track of the squares
where the double cube could be vertical.  This makes it into a single
state maze with wierd movement rules.
After mapping 10 squares back from the end and 6 forward from the
start, I found a solution:

Showing only the squares on which the double cube is 'up', in
ascending order:

-  - 15  -  -  -  -  -
1  -  #  -  - 16  -  -
8  7 14  9  # 10  #  -
-  #  -  -  6  -  -  -
2  #  -  #  -  -  -  -
- 12 13  - 11  #  #  -
-  -  -  #  5  -  -  -
#  3  -  -  4  -  -  -

There's also an 18-vertical position one, which does not need
either of the rightmost two columns:

6  - 17  5  -  -       -  -
1  -  #  4  - 18       -  -
10  - 16 11  # 12       #  -
7  #  -  -  -  -       -  -
2  #  3  #  -  -       -  -
9 14 15  - 13  #       #  -
8  -  -  #  -  -       -  -
#  -  -  -  -  -       -  -

  Tim Firman