Just signed up with AAA Plus and asked a lot of questions. Hopefully won't need it. Thanks for all of you that helped.
I should have added in the original post that GS gave me an approval the night before the tow. The day we needed the tow they called and said it was a convenience tow. I felt with this situation of them telling us that it was covered then telling us the next day it wasn't was not a company I wanted to work with. Therefore I cancelled our membership.
Hopefully I won't need to use AAA but decided to get it since we have an over 700 mile trip ahead of us.