Difficult, but not impossible. You're trying to book international high season on short notice. Everyone who flies once a year but runs up lots of credit card miles have been booking those flights for the past year, so not much is left.
A week ago I booked a very short notice r/t USA to Italy, Y in one direction and B/E in the other direction for 95k miles. Not lowest pricing, but low enough considering how easily they give out the miles.
Read the sticky at the top of the forum on booking B/E int'l awards.