I have thought the draught excluder could be a good fix.
I have been using to try to keep the queen up one end away from the frames of brood I have been using to create a split in there. I bit unorthodox but if the queen would cooperate it would work lol.
My plan on tuesday if she isnt on the comb hanging from the bars is to shake her into that side with the nurse bees from 2 of the frames and put the frames along with the nurse bees on the 3rd frame and see if we can get a split from the 3 frames and the queen will have to use the comb.
We will see what happens on tuesday.
How are your bees going. Have you got any honey from them yet or are you letting them keep it for now??