Okay, my thought was to "image" your PC by installing the remastered Knoppix to hard drive, or installing an unaltered Knoppix, but using settings for the default user saved to either to floppy or USB drive--since the settings for that user are copied to the default user when the system is installed to hard drive. That seems the simplest way to get multiple PCs configured alike, which is usually the aim of imaging systems.

I don't think there's really an easy way to use the CD drive when running the OS from a CD, since the system disc is mounted and can't be ejected. So the OS needs to be on another CD drive, a hard drive--or a USB drive if the PC supports booting from one. That does suggest a way around this without needing the PC to boot from USB--an external USB CD burner. You could boot from the internal drive, and when needed add an external burner.