I am a trapper, why do you think trapping is pointless? If you really are a wildlife biologist you would understand that trapping is necessary. Not trying to argue but you could also live trap and release them. But that is 99% likely not to be the solution because I'm not saying you can't do it but you can't it takes more dedication and research and will take probably 2 or 3 years maybe more until you can catch enough consistently to make a difference.
Most people with poultry will be trapping on their property only. With such an approach, trapping by individual on own property would work only if many people do it. Otherwise the trapping effort by a single poultry keeper will cost much more than the alternatives. If pelts where worth something like they have in the past then trapping would be a more economical approach. Hunting is usually not much better.
Repelling with fences, dogs and good poultry containment is cheaper in the long run.