Violet, I haven't heard of a lot of deep discounts for Freedom, as cruise lines tend not to have to discount their newest ships, especially the ones getting so much ink in the press. Prices may be slightly lower at typically less popular times to travel, such as the two weeks before Christmas and late August/early September.
If you are a prior cruiser of R.C. and are a member of the Crown & Anchor Society, in their magazine they are offering coupon discounts for the 8/27/06 and 10/15/06 cruises. $65 off Interior stateroom, and $125 off Oceanview & above stateroom.
I'm going on the 11/19/06 (Thanksgiving week) cruise, and can't wait!!!