Help archiving Lisa disks to a Mac

Hello,

I recently was given some Apple Lisa disks such as MacWorks and Lisa Office 3. I would like to archive/image these disks on to my Mac, but DiskCopy doesn't seem to do the trick, as it won't mount the disk.

Which software should I use instead?

It it helps, I have a Mac Classic (both SuperDrive and external 800k drive), LC, Quadra 605, and desktop Power Mac G3-- so I've got a lot of options in terms of hardware, I just need a good disk archiver program.