It would help to know whether you're in Mildura or Milwaukee, Wagga Wagga or Walla Walla, New Brunswick or New South Wales ..
Anyway, in this kind of situation, Christmas being peakus peakissimus, best to phone your FF hotline and talk to a consultant. You won't find anything online.
Last year our son came from MEL and took advantage of a LH sale in October which had some reasonably priced fares for December. the real peak seems to start around Dec 14th but for some reason we found a cheaper seat on Dec 17th. All of the adjacent dates were sky-high.