Hey Pat,
I've dealt with Verizon customer (DIS)service enough to know that your situation is fairly typical. When I get someone who's English I can't understand, I politely ask if they can transfer me, rather than have to go through the "press 1 and hold FOREVER routine. Joan says to check on your bill to see if there is a customer service or billing number. I suppose as a last resort, you could go into a Verizon Store and say, "If you people cannot connect me to customer service or help me right here, I am going to switch to AT&T." 8)
As long as you don't have to talk to the company, Verizon has been great with our use in our travels. Apparently one of the requirements from the state utilities commission is crappy customer service.
Best wishes,
Jim