Once you have accessed the floppy, I might be able to help as I have used the Conexant linmodem drivers as well.
The drivers should be in one of two file formats. There will be either an rpm file with the suffix .rpm, or a tar.gz file with the suffix .tar.gz
An rpm file is easy, if it is specific to your distribution. Just click and press 'install'! tar.gz files are more fun. But you can get instructions here, for both types, and download the right file for your modem and distro: