For your consideration:
I have bottomless hives set on slatted racks. I use reversable bottom boards turned upside down with the small entrance installed as a top entrance/vent. I have successfully overwintered both hives without once using the mite board to close up the bottom. Temps were down into the single digits for everal days at a time and the bottoms were completely open.
I checked them today and they are making nectar, pollen, and brood as one would expect as this time of year. My equipment is 8 frame medium boxes and I use a 3 box basic hive.
It worked well with Russian or OWC bees as they winter with a smaller cluster, use less of the stores during the colder part of the winter and still have sufficent stores to ramp up brood production in early spring. Right now they have 8 frames of honey stores and are gradually buuilding up.
I experiecne zero bearding with temps into the 90's, the bees will, however, festoon off the slatted racks a few inches below the hive.
All debre (wax cappings, mites, etc) fall directly to the groud where the ants take care of it. Since I've go bottomless in my hives I have not had an ant problem, probably because every thing gets dumped on the ground for then and there is no motive for the ants to climb up into the hive.
I am getting a package of Coradva Italian bees this spring to run a comparrison on overwintering in bottemless hives using a warmer weather bee versas the Russian and OWC.
The bees fan air in only one direction, up, when cooling the hive as the top vent allows this and the slatted racks provide a platform from which they can fan. In most hives with out any top ventilation, the bees have to force air in both directions at once, up between the frames on one side of the hive and down between them on the other. If you watch bees washboarding you'll see that they will sometimes change their angle or body attitude to help direct the air where it is needed. You'll often see bees on the opposite side of the landing board facing the opposite direction and doing the same thing. Air up, air down.