Hey Lori-
We have something similar -- ours is portal.okaya.com.
You'll need an "A" record in your DNS that points to the IP of your BP server. Ours is called "portal".
Then in SharePoint Central Administration, you'll have to change around the "Alternate Access Mappings". Here are what mine are for our setup here:
For the Intranet zone, the internal and public URL is http://portal.
For the Extranet zone, the internal and public URL is https://portal.domain.com.
I hope this helps. Let me know if you get this working!
Thanks.
-Joe