You do not need a working installer or video driver to reinstall XP . . enter BIOS ( Setup ) and set the first boot device as CD/ROM. Put your XP Disc in the drive and disconnect all external peripherals except the monitor, keyboard and mouse, and be sure those are not USB, or wireless. Any internal USB card should also be removed.
Once you set your BIOS to boot first from cd . . when it restarts you will see a black screen with a prompt
"Press any key to boot from CD" . . do that and you will be able to delete partitions and recreate the ones you want and proceed to formating and installing XP
That message can pass quickly, so have a finger on the keyboard when you boot. This will delete all data on the drive so be sure you have your important data backed up.
These are good guides to reinstalling XP . . you might want to print one for reference during the install.
http://www.socrtwo.info/cleanxpinstall.htm
http://www.theeldergeek.com/xp_home_install_-_graphic.htm
You may have to reload drivers (Chipset first) and applications, If your XP installation disc does not include SP2, after the installation, you will need to download and install SP-2, while windows is clean. Prior to connecting to the internet be sure you enable the XP firewall.
Have fun . .