At the suggestion of my SharePoint instructor, I've created a Team site collection on my SharePoint site.
In order to customize the layout, I've enabled the Publishing feature on my site collection and site, and created a new Publishing page to set as my site's default homepage. This all worked just fine, however I cannot figure out how to set this page as the docroot default page.
For example, I want to be able to go to http://www.mysite.com/ and be able to see my custom page. However when I go to that url, it keeps redirecting me to the page's actual location at http://www.mysite.com/Pages/default.aspx.