Opossums are supposed to be great for keeping tick populations down. The walk around, they get covered in ticks, and then they eat them. Repeat.
How one makes their property appealing to opossums while keeping their chickens safe, I'm not sure. But.. interesting to think about.
Also Lymes is an incredibly sneaky and misunderstood disease.
The guidelines by which doctors diagnose lyme vary by location and infections in your area, so people can travel, get it, go back home, and be told they don't have it.
Changing weather patterns are seeing the spreading of insects not typical to certain areas. And travelers can bring insects home in their belongings.
There are also secondary and similar infections to worry about that aren't specifically lyme.
So it's my opinion that any and all prevention that can be put in place is worth the effort.
If that includes digging a moat so be it.
Moats are super cool anyways.