I killed one with a shotgun once. Unfortunately, that caused the price to go down. It's a hard life hunting patents/naugas/corinthians. They're just so darned small.
Now, the Fauxs are a different story. They're pretty large and have a nice bare spot on their belly where you can to shoot 'em without ruining any of the fur. For them, you can rack up a huge stack of Marshal Island Dollars.