Internet Outage

Our Cox internet has been down for going on four days.   I’ve called over a dozen times and the tech service people say they have no idea when it will be restored.  It’s a major outage so they refuse to send a technician to our house.   However, all of my neighbors still have internet service.  They were down for a few hours and then service was back on.  
Cox communicated several days ago that they were upgrading the internet service and to expect some delays.  Any suggestions for how I can escalate this situation?    Thank you.   Location is Green Valley, Arizona.