I don't know if this will help much, since you seem to be doing about as much as you can, though you could do something different, I guess.
Anyway, a friend of mine had a barrel of high moisture honey. His hot room was heated by a wood stove in the center of the room. He raised the barrel above and beside the stove. He set another barrel on the opposite side of the stove. He took a section of rain gutter and spanned the distance between the bottom of the raised barrel to the barrel on the floor across the top of the stove. He punched a hole in the side of the elevated barrel just above the bottom of the barrel, allowing honey from the elevated barrel to run the length of the gutter into the barrel on the floor, across the burning wood stove. That did the trick for him. Maybe that will inspire your creativity, maybe not.
One bucket? Feed it back to your bees? Harvest it again when moisture is right? Next time don't extract so much open celled honeycomb? Check moisture content before extracting? I don't know. Just thinking out loud.