-You may go there to try the emergency AP a again. If the IO (probably another one) still rejects your application, you may request to meet the Director and explain it to the Director.
If you use Expedited Processing for Advance Parole, it may take a couple of weeks to get the AP (still much faster than regular AP application).
Read these links for some information:
https://www.uscis.gov/green-card/green-card-processes-and-procedures/travel-documents/emergency-travel
https://www.dhs.gov/ombudsman-update-advance-parole-tips