I have never done a network install. So I am not help there.
I looked at the specs of the laptop and I do not see any reason why an out of the box install should not work. I have installed Slackware on 4 laptops and it worked great, other than I had to work on the NIC. Which I had to do with Fedora, Suse and such. If you use Slackware 11 and the huge26.s kernel, it should pic up any hardware you have.
I am not sure what CPU you have or the amount of memory. But KDE will likely run slow, I would suggest Fluxbox of xfce for a dekstop.