There are no XP drivers for your system, it's no an issue with the CPU but rather the whole system. XP will run just fine on i3 as long as the motherboard and other components will work with XP. This does not look to be the case with the Compaq you have, you will only be able to run Win7 or Vista, officially.
You can try to install XP and see what happens though if you have recovery disks and don't mind doing some research on the drivers you may need. If you want support from Compaq on the system though, stick with what it came with.