you say frames of brood - there should only be one maximum - how many did you leave with the queen?
As I understand it (but v happy to be corrected - I'm still very much a beginner), Step One is, as soon as there are 6-7 frames of brood, to remove all but 1 of the frames of brood from the Q+ BB and put them into an upper Q- BB above the QE and super, replacing the spaces left in the lower BB using frames of preferably drawn foundation. Or, alternatively as you suggest, to simply take the Queen and one frame from the BB, put her in a new BB and put that one below a QE to become the bottom Q+ BB. Either way, one ends up with most of the brood in the upper Q- BB where they hatch, whilst the Queen remains in the lower Q+ BB with lots of space to lay.
Step 2, as I understand it is to go back every 7-10 days or so and essentially rotate the laid and empty frames between the two BBs so that laid-up frames of brood in the lower Q+ are continually moved up to the upper BB and empty frames of hatched brood are moved down to the lower Q- BB to replace them.
That, as I understand it, is the basis of the Damaree, no?
The problem I found was, as I mentioned, that as soon as the brood in the upper BB hatched the bees tended to fill the upper BB's frames with stores, making it more complicated to re-populate the lower BB with frames of drawn foundation as per Step 2. My hope this year was to try to find ways of detering that so that they put stores in a super above the upper BB.
My extractor is manual 9-frame radial extractor. It does take 3x DN frames tangentially but it's a bit of pain doing so.