What would the darker Queens be mated with?
It isn't so much, what drones the darker queens have mated with, as which drones their mother mated with, and which drone is their father. In all the cases of darker queens from a Cordovan Italian mother queen, the darker daughter queens will need to be fathered by a non-Cordovan drone. Only when a female (queen or worker), receives a Cordovan gene from both their mother and father, that they too appear Cordovan in color. That's called being homozygous for the Cordovan trait.
So, if there are many drones around, who do not carry the Cordovan gene, it is highly likely that daughter queens will, soon, not exhibit the trait, though some of them, if their mother was Cordovan colored, carry the Cordovan gene from her. Even queens/workers whose mothers only carry one Cordovan gene (from their mother, or father), can then produce Cordovan daughters - if some of the drones they mate with are also Cordovan. Half the drones produced by half-Cordovan queens will also be Cordovan.
Also, if a new queen, has a father who was Cordovan, she will also, then be laying drones, where half will be Cordovan, and if she mated with only Cordovan drones, half of her female progeny could also be Cordovan colored. That is how the trait can be bred into any different strain of honey bee.
It is explained, with diagrams, here, at the
Glenn Apiaries website.