Stinky -- my Dell Inspiron 8600 that I bought in 2004 ran WoW just fine, the only issue I had was with the crappy hotel wifi, not my laptop. It's a widescreen so even your squinty eyes should be fine. I got a 1.6 ghz, 512 RAM, and a Radeon 9600 Proturbo video card so definitely not top of the line but as I said, it handled WoW fine.
The reason I gave it to Tainish (lucky husband!) is because I don't care for widescreen and I wanted something a little lighter. I just bought an HP Pavillion and haven't yet loaded WoW on it since I'm not yet traveling.
Hope that helps!