My original message might not have been clear. At this time, the domain mapping plugin appears to be the source of the redirect looping. The problem occurs when the plugin is activated and goes away when the plugin is deactivated.
So, sorting out the issue of the redirects means installing and activating the domain mapping plugin and then doing some debugging. That was in the plan all along. One reason for this post is to glean details about the inner workings of the plugin to hopefully shorten the time it takes to debug this issue. Any pointers would be appreciated.