You live in North America and your lawn doesn't drain well after a rain so you have crayfish holes in your lawn How do you get rid of the crayfish without having to capture them?
Create a different drain route for the water, or you can try to
fill those holes with dirt.
You could set up a seafood stand, if you have a permit or
license for it! Crayfish is kind of nasty though
This is an interesting problem I have never heard of before. But
if your lawn is still flooded, another thing you can try is set a
crayfish trap, which can be purchased from a local sporting goods
store. This is how they harvest crayfish from commercial crayfish
farms.