Lechucks Fortress Acid Pit Bug
Solution 1:
Triggered by Alex I had another look around and on the thread I linked in my question some kindly soul had posted a link to a 4shared file which had a nice comprehensive saved game with saves at all the major points in the game. I now have a save that appears to be moments before this bug occurs.
For those who may come across this in the future the file is at http://www.4shared.com/file/p3so33m4/MI2SEsaves.html
Simply open the archive and extract the "32460" directory in its entirety to your Steam\userdata\%STEAMID%\
directory. Backup your current 32460
directory if you like, though I'd consider it optional as the "dead" save is pretty much useless.
Solution 2:
An update was released in July which probably fixed this: TalesOfMI.net article
It's not explicitly mentioned as the acid pit bug but they mention addressing certain 'cursor issues'. Some of the comments on that page indicate that it was indeed fixed with this patch.
If you happen to test it and can confirm either way, let me know and I'll update this answer.