I see this as no different than the pig hunts for wild hogs. Invasive species need to be removed. There is no clean and easy way to do that.
I worry about all invasive species (feral cats, dogs and hogs). Native wildlife is being wiped out by invasive non-native species. As I said, there is no easy way to do that. Catch, neuter and release does not work. You should have read the uproar around here when a local company tried to get a feral cat colony removed from their property. The extermination company's employee was arrested for cruelty to animals because he used CO2 to euthanize two cats in the back of his truck. There are whole organizations out there dedicated to caring for feral cats - an invasive species responsible for killing thousands and thousands of birds and reptiles each year. In fact, I bet some of the problem with native species being threatened in the Everglades is caused by feral cats, dogs and hogs. We shouldn't just target the burms, but all invasive species.