Cannot Access SharePoint Site Externally

Hello.  I am having problems getting my Sharepoint site accessible via the Internet.  It works fine and is available on our Intranet but I would now like to have it accessible via the Internet.  This is what I've done but I must be missing a step somewhere ...

(1) Built a Windows 2003 Server (server name: MAIN) and loaded SharePoint 2007
(2) Had a DNS entry made (both internal/external DNS) to have CUBS.UC.EDU point towards my Windows 2003 SharePoint server MAIN.UC.EDU.  I want to use this new url CUBS.UC.EDU for my new Sharepoint site.
(3) Created a new web application using the following settings:
        PORT: 80
        HOST HEADER: CUBS.UC.EDU
        PATH: <provided path to where I wanted this stored on disc)
        NTLM
        Allow Anonymous: NO
        SSL: NO
        URL: http://CUBS.UC.EDU
        Created a new application pool for this site and gave a user name/pw
        Filled out the appropriate Database settings
        Created Web Application
(4) Create a Site Collection using this new web application:
        URL: http://CUBS.UC.EDU/
        BLANK SITE template
        Gave it both a PRIMARY and SECONDARY site Collection Administrator


When I completed both of those steps, I was then able to access it via our INTRANET however I cannot access via the Internet.  

To try and resolve this, I then:

(1) Had another DNS entry made (both internal/external) to have BEARS.UC.EDU point towards my Windows 2003 SharePoint server MAIN.UC.EDU.
(2) Extended the above Web Application with the following settings:
        CREATE A NEW IIS WEB SITE
        PORT: 80
        HOST HEADER: BEARS.UC.EDU
        PATH: Gave it a path to where I wanted this stored
        NTLM
        Anonymous: NO
        SSL: NO
        URL: http://BEARS.UC.EDU:80
        ZONE: Internet
       
This did extend the web applicatin to this URL however I still CANNOT access via the Internet.  I can access via our INTRANET.

I finally went into Alternate Access Mappings to see if I could find the problem and these are the settings:
   
    INTERNAL URL                        ZONE                            PUBLIC URL FOR ZONE    
    http://cubs.uc.edu                default                            http://cubs.uc.edu
    http://bears.uc.edu               default                            http://bears.uc.edu

Any thoughts on how to get this sharepoint site available via the INTERNET?
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