Integrated graphics? o_x Ouch. Not sure that will work at all. =/ Sorry. If you have the money to build your own PC, my suggestion would be to post what you're thinking of putting together into this thread and see if it will be good enough to play what you're wanting to play. My suggestion would be to go for at least a 1GB graphics card if you're putting together something for yourself, if only to ensure it will be able to handle future PC games rather than just older ones. Hopefully your wallet can handle the pinch!
If not, what is your current PC? Perhaps a simple graphics card install will be all you need, to avoid having to spend money on a completely new computer.
Make a thread in the Video Game Music forum if you like regarding the FFXI menu music.
Hopefully someone can help you out there!