The real problem you have is award availability. Just taking a quick look on Expert Flyer, there is very limited TN coach availability around the dates you are looking for. So you really need to book ASAP. I assume you are looking at flying coach as business is very difficult to get - even 330 days in advance. One way to book soon would be to transfer MR miles to Delta miles to make one ticket and then use your AA miles for the other ticket.

You should immediately check award availability with Expert Flyer or one of the other services and make your reservation ASAP.