I have always used some 3 deep brood chamber hives, especially for 2-queen colonies, but also for normal colonies.  With good queens they often build up
tremendous populations, and as others have written here, swarm much less frequently than 2 deep chamber hives.  This year I have put 7 supers on two of them,
and they would probably fill an eighth super as well.  However, my scaffold will only reach 7 supers high on top of 3 deep chambers.  That is a lot of honey!  I
agree with other list posters that the lowest chamber is filled with pollen in fall and winter, and that it is a good resource for starting new splits and nucs the next
spring.  The bees usually start out in the middle chamber and move to the top during the winter.

Ted Fischer
Dexter, Michigan USA