Mike, I think what you are saying is you are using a custom domain configured in ChOP (ie. YourStreamingURL.com brings up your ChurchName.Churchonline.org page). But your public DNS record points to a specific IP address.
You shouldn't have to specify the IP address of ChurchOnline.org ... you can just point the ANAME Record in your DNS to YourChurchName.ChurchOnline.org vs an IP address.
Does that help?
(BTW, i'm the IT Director at my church so i'm happy to chat with your IT Guys about how we've setup the public DNS settings)