We use Mini Plus type hives for mating our Queens.
Theses have more advantages compered to the smaller Apidia type.
The main advantages are you can over winter a Queen in them easily.
And early in spring you have a Queen ready for use and a mini hive available to take a queen cell .
I run my Mini Plus hives all year round just like you would do with a normal size bee hive.
I add extra brood boxes as needed .