If you cannot see (not access) that group of files/folders with the drive attached to another system...it would seem that recovery tools are the only choice.
One of the common provisions I've seen in the recovery programs I've tried/used (maybe 4) is that the user needs to ensure that the destination has sufficient space required by the program used.
This is one that I've used successfully, Data Recovery Tool for Windows XP - http://www.quetek.com/prod02.htm
These two I've not tried, but someone I respected must have mentioned them sometime for recovery purposes:
Recovery Software, Recover My Files - http://www.recovermyfiles.com/
AND Recuva - Undelete, Unerase, File Recovery - Home - http://www.recuva.com/