What I've always tended to do when installing Systems stored on a lot of floppy disks is to make disk images of them all either install them directly from a hard disk or across a network. Just mount them all on the desktop and away you go, given there's no floppy disk reading to do, it installs much faster.

Doing it this way has a number of benefits - it preserves your original floppy disks, it allows you to create exact duplicate sets of them at any time, it allows you to perform a much faster install from the disk images and you remove the problems of certain disks not being read properly and aborting the install etc.

It does take time of course to make the disk images in the first place, but it's an investment in time worth doing. You just never know when one of those floppys might become damaged or the floppy drive itself start playing up.