Wirelessly posted (BlackBerry: BlackBerry8530/5.0.0.1030 Profile/MIDP-2.1 Configuration/CLDC-1.1 VendorID/417)
You could also search at united.com for Saver awards on your desired dates, but when you redeem UA miles so close to departure date, there will be a close-in ticketing fee ($75, I think).
It's possible that AA will release more SAAver seats closer to departure date, but there's no way to accurately predict whether they will.