I went to my AAA office today, and you'd think I asked if we could pay with monopoly money! The girl said no, but I'm going back in tomorrow to see our usual agent and ask her to call her Disney AAA number to ask them there.. I did go back and do a search on here and some people have been successful using rewards cards at AAA last year and year before. I showed the girl today that it had a number like a debit card, but she had never heard of using it to pay for a package.
I'll report back tomorrow if I get an answer.