Calling a Roadside Service to help locate a service provider in an area you are unfamiliar with sounds like a good choice and a good resource.
Agreeing it would be your dime and not GSRA makes it easy for GSRA as all they have to do is provide the customer with a phone number of a mobile repair that they have on contract or would contact if GSRA was dispatching for an assistance call.
The concern in this non emergency situation is that Road Side Assistance was unable to assist. What happens in an emergency situation?
This was a missed easy slam dunk in regards to customer service. I agree it was not GSRA to fix but a simple recommendation and you would have had a happy customer.