I don't think it's impossible, you just have to be flexible and look hard. There actually are still F/J redemption seats in June/July 06.

Oct 07 - I don't think you can even book so far in advance (364 days limit).

Just look right when it opens in Oct 06 and book the dates that are closest to what you want. You can change later if more seats open up.

From my experience during non-peak periods you can get F/J seats on the daytime flights every week.