I think jim might be correct. In that case you might investigate if CC can unconditionally call forward calls by DID. If so you should be able to send it to another sp (other than the CC slot) on the OBi to configure a different ring pattern. If you had an OBi202, all 4 DIDs could be set up with different ring patterns. Any other model will only allow to identify one DID call.
You're in luck. I think it is also possible to receive the original CID since CC allows for this.