As I said above... - let's try this another way. DID numbers are NOT DID TRUNK numbers, two separate entities. DID trunks DO NOT have ringing current like POTS lines do! POTS lines have Dialtone, DID trunks DO NOT. DID trunks CAN NOT be called directly, only INdirectly with the DID number. They are selected by the CO switch DID trunk group. The order inwhich they are selected is determined by parameters setup for the TG. Hunting on POTS lines is setup in the CO switch on a line-by-line basis as a series completion, circular, random, or multiline(MLH) arrangement.
Now, from your description above, it seems like all you need is POTS or "POTS like" service - not DID service. As usual IT does not know or understand the difference between TELCO types of service offerings and how they are used or operate!
OK, if you do want to use DID service for this application, then you only need one DID number per console. The public is only going to call one number per division - right? So on each DLC you would assign one DID number as the station number and have additional SA RING buttons assigned on those phones for multiple calls to appear. By having x amount of SA RING buttons you can control the quantity of calls that can appear on the DLC before the caller gets a busy or other call treatment conditions apply.
Now this copper trunk you mention, what configuration is it?? Unless you are using it as a backup it does not seem to have any purpose. Please explain further....
Hope this helps!
....JIM....