Ah, a SATA driver, they make for fun for installing XP
If you have a proper XP installation CD (or burnable image of, or the installation files on HD somewhere), and the right SATA driver, you can download
nLite to rebuild the CD to reburn with the SATA driver built in, so you don't need a floppy drive in the laptop to provide the drivers on.
Use nLite to build a new XP CD image with the drivers included - should be straightforward since the software's essentially wizard-based, burn the new CD, then use that CD to install XP to the laptop without any driver hassle

Personally I'd keep that CD somewhere safe then in case you need to repeat with the same laptop
If you have any problems getting the drivers out of that .exe, I can upload them for you since I've managed to extract them via virtual-machine/virtual-floppy-drive
EDIT: Face obviously found a quicker way to extract them faster