Too bad, ChromeOS is a bit lacking on drivers since it's only officially supposed to work on a small subset of hardware. You can try searching for your wifi chipset and see if there are any discussions about getting it to work (ChromeOS was/is essentially a modified Ubuntu so it's likely just a matter of hacking the Ubuntu driver into place).
Another option is to see how quickly Ubuntu can boot; using the Chrome browser is nearly the same as Chrome OS minus some cosmetic things (and plus a lot of needless overhead). By installing a basic server image rather than a bloated desktop image, running a really simple window manager (
Openbox?), and having it autoload Chrome on login you're most of the way to ChromeOS. While the boot time may not be as fast as ChromeOS it should blow away Win7 and you'll get the full support of Ubuntu's drivers.
This should help.
You'll probably need to find a wifi manager as well, which may be a bit more difficult for Openbox as opposed to something like Gnome/KDE/XCFE. Another option would be to start with an Xubuntu desktop (generally considered to be the lowest overhead desktop flavor) and uninstall the crap you don't need. This can be faster from a top-down approach that starts with a working system.