Not sure you reasoning for caging each queen in such a manner. But if you have time for such a technique for each queen, why just not move them into nucs or other prepared hives? You need a "colony unit" of some sort for each queen. So why not just make up the units and forego the whole push in cage thing?
Well my plan was/is to rear queens on regular brood cell useing the MDA/ case method. I don't think I can safely remove the queen cell from teh foundation without damaging it. Actually I have never tried, but it seems to me doing that without damaging the developing queen is about impossible. So my plan was to cage each one independaly a day or two befor they are supposed to hatch and them move them when the actually do.