You can surely try out many floppy distros for this job
I personally never tried them but found out
here a list of linux Floppy Distributions.
I think that since it's in floppy you won't have any friendly gui to set it up but if you follow the documentation of the site's distro you downloaded, it wouldn't be too hard just give it some time.
BasicLinux seems popular for this job since it runs on a minimal of 4mb ram.