The department did purchase a .22 rifle for use by animal services officers to put down injured animals. I suspect it still collects dust in the armory unused. I suspect concerns about training and qualification arose as well as the judgement of the animal services officers. There may also have been legal issues about a department issuing a firearm to people who had not been to a police academy and weren't certified LEO's.
Then they bought the tranquilizer gun until someone thought through the licensing and storage requirements for the drugs involved. I suspect that may still be in the armory.
On one occasion, I wandered through the parking lot between the administration and operations buildings where they were testing net guns. I don't know what happened to that initiative. I guess it could have been used to capture small, compliant animals who didn't run.