How do you know that the trap is for a hunter though? Almost all modern hunting traps are actually not Victorian era horrors, and some are only designed to capture, not kill, the animal. I remember once a shelter I used to volunteer for got a report about a dog that they believe was thrown out of the window of a car. The poor thing was cold, starving, injured, and terrified of people. The shelter people had little choice but to trap the dog using food as bait so that they could take the dog to a place where it would be healed, fed, kept warm, loved, taught to trust people again, and eventually sent to live in a loving, happy home. You bet they would have been pissed if some vegan destroyed the trap and started lecturing them on how hunting is murder and how all animals are meant to be in nature.
That and it may shock you to hear that food deserts can have consumable animals living there. It may well be possible for residents of food deserts to shop at a grocery store, but not always feasible considering the long distance travel as well as money being tight. Sometimes trapping animals is the best option. Destroying traps could actually severely limit people's food supply-- and hey, you don't seem to be willing to donate vegan food on a regular basis to these folks to supplement the lost meat.
And depending on what is being hunted, hunting might actually have very little ecological impact. Deer hunting, for example, has been shown in several studies to actually have no effect on deer populations. So long as hunters continue to not go over the top about it, they will not drive deer to extinction-- that and I suspect deer have dealt with animals that want to eat them since they came into being and so can reproduce accordingly to supplement the losses. Actually, hunters in general are very interested in conservation. Sport and game hunters often view themselves as taking on their natural role as apex predators, and like any apex predator it would not serve them well to drive their prey to extinction.
And as somebody who has met a fair amount of hunters, the beer swilling stereotype isn't true. Some do enjoy drinking alcohol in moderation while hunting, but they never go out to get drunk and shoot animals. Because its common sense that drunkenness and potentially deadly weapons don't go well together and no hunter wants to be responsible for injuring or killing people.
Though if you do have a hunting method that's horrifically deadly and can drive any animal species to extinction, you might want to contact the Australian government. They've had an awful rabbit infestation for decades and would love to eliminate them all.