I'd try some other distro before you pull your remaining hairs out
Did a little searching.. nice machine for Linux! I see a network card is built in? with a network card, you could try installing over the network from a webserver, then you won't have to worry about cdrom switching or broken install support for external drives
Distributions I know to support various install types are Redhat, and Mandrake (Now called Mandriva).
From the search I did I noticed that Redhat seems to be common to the Viao PCG-Z505, perhaps you could try this one first and see how you like it, It should have enough installation options to allow you to tweak it into a slim, fast machine.
Since Fedora is (like) Redhat, you could also try that.
Good luck!