Dog is the correct collective noun used to describe a member of the genus
Canis familiaris, whether male or female. The noun "Bitch" is used to differentiate between male and female Dogs or other canine animal. Further, it is incorrect and meaningless to describe an animal as a Bitch without first identifying it as a Dog.
An alternative non-gender specific collective noun is thus unecessary and may be seen as tautological. I hope that clarifies the matter.
