What you'd need to do is set up an internal DNS zone for our_domain.com. Then you're manually updating all the our_domain.com assets that are on the Internet with their public-facing IP addresses, and internally-hosted ones with their internal addresses. So you'd be maintaining two sets of DNS for our_domain.com. Nothing wrong with that; lots of folks do it. Sometimes is a pain, if you forget to update both when a server changes.
-tom