Sad story!
I have hundreds of floppies as well, but have found that more than 80% are still readable, but some percentage more have errors.
Good luck finding a program to salvage some of the information, I am sure there must be several Amiga programs for such work, but they were intended for disks erased in a floppy drive, not in front of a massive sub-woofer.
Try Aminet.
Edit: Funny one Matt_H, I wish I had thought of that!
