We have to do the same with my son when he returns here next month. We did ask if we could renew the residency early, but were told it has to be within 2 weeks of the expiry date, so we were far too early. From what I can gather, yes you can get the 3 month visa when you run out, but you will have to start residency process from the beginning, not a renewal. Please correct me if I am wrong though.