Kelpie x Beagle.
Those can have red noses.
Vislas and Ridgebacks can also have red noses... And English pointers...
I would make a formal complaint to your council about the (lack of ) skills of their dog ranger.
pointer x doberman
whippet x rottweiler
JRT x Manchester Terrier
short haired border collie x kelpie
Here is a nice red nose doberman