Has anyone ever tried eradicating nutrias with zinc phosphide?

I have heard you can bait them with sweet potatoes and carrots. Then add some Zn3P2 and the problem is solved.

My questions are:
1. Is Zn3P2 the typical active ingredient in rat poison?
2. Does it work on nutrias?
3. Will it harm my fish?
4. Does anyone have a better idea?

The nutria have rapidly reproduced and are now burrowing in our dams. We are also concerned about the wooden post/pilings that hold up our piers.

Any advice would be greatly appreciated. Thanks.

Chunk, wind and set the hook!