Thanks for all the replies.
gamechaser001-I haven't been able to try another computer. My Gateway desktop doesn't have a wireless ethernet card, so it won't work. I'm convinced this type of connection might (about 10% convinced) work, but I think I've given up on it. I'm either going to buy the LAN adapter or buy a router. Glad to hear you and others tried to get creative with connecting their Wii.