The problem with AAA is that they are apparently not a single, uniform organization, but rather a group of allied state automobile associations, NOT ALL OF WHICH OFFER RV ROAD SERVICE.
I have seen forum posts over the years from people who claimed that they bought RV road service from, say, AAA TX; and when they broke down and needed towing in MA, AAA MA told them they didn't offer that service and refused to help them.
In such a case, you'd have to find your own tow company, pay them yourself, and then submit the receipt to you home AAA for (hopefully) reimbursement.
I personally would not use AAA for an RV for that reason.