Have you considered other options to gain more AA miles? Do you have a
SPG Amex? For spending $5,000, you get 30,000 SPG points, which transfer free to AA at a rate of 20,000 SPG = 25,000 AA miles. You can apply for the personal and business SPG Amex simultaneously if you can meet the minimum spend. I'm assuming you have an AA personal card, but you may be able to get the AA business card as well, even if you don't have a business, by applying as a sole proprietorship.