On my last trip to WDW, this past January, I contacted member services as to there not being a freezer section in the mini-fridge in my AKL studio. Member services quickly called me back (at home). The CM said that DVC members had requested the elimination of the freezer section so as to have more space in the mini-fridge!
I need the freezer because I bring food due to religious dietary restrictions.
But his might help you: I found that if I turned down the thermostat all the way, and put the frozen items up against the cooling coils, they stayed frozen. Items in "front" of those items were not frozen.
I was thinking that next trip I might try placing a rolled up newspaper in "front" of those items to slightly "seal in" the cold.