How do I get a supervisor to listen to a support call recording?

I have had service issues for nearly a year now.  The recurring but intermittent outages are well documented. Unfortunately, the source of the outages has not been found and, as a result, I have to contact customer service frequently.  The first problem is that technicians are limited in what they can do.  Is it an inside issue? An outside issue? A line issue?  Whoops, we can't touch that.  You need to call to make another ticket.  Two weeks passed?  Whoops.  You need to call for a new dispatch....Now I'm recovering from cancer surgery and have had techs here 4 days this week already.  The second tech installed new lines so the first tech wouldn't respond anymore.  Second tech couldn't do anything.  Customer service was asking me to physically check the tower and when told I couldn't due to surgery, told me they'd charge me $149 to dispatch service.  When told they'd get a disconnect, the response was that's your prerogative.  This all appears to be acceptable to ATT.  

Oh, and my service is still going out.....