Depends on how many seats are available on your particular plane as well, unfortunately.

There will be the traditional rock-bottom CW sale for transatlantic holidays tomorrow, but this is for British people flying to the US over Thanksgiving / Christmas. Hopefully something will crop up for your dates, but I suspect it will be a short lived tactical reduction rather than something which will be splashed over the home page. Keep a close eye on the relevant FT threads / forums!