Is there a way for a process model to obtain information about the server Appian

Just to clarify, does the url of the Appian site change depending on whether it runs on prod or DR, like it does for the web services? If it does, you can use a simple rule to detect the url and then assign the wsdl url based on that. Common Ojbects app has it under APN_getSiteUrl.
If the site URL does not change, then I think manual intervention would be the simplest solution. Also, the systems that you are connecting to may not be under the same DR parameters (RTOs and RTOs) as your Appian site, so things may get more complicated in regards to which system you are reading from which site at what time.

Just to clarify, does the url of the Appian site change depending on whether it runs on prod or DR, like it does for the web services? If it does, you can use a simple rule to detect the url and then assign the wsdl url based on that. Common Ojbects app has it under APN_getSiteUrl.
If the site URL does not change, then I think manual intervention would be the simplest solution. Also, the systems that you are connecting to may not be under the same DR parameters (RTOs and RTOs) as your Appian site, so things may get more complicated in regards to which system you are reading from which site at what time.