Carpenter bees are valuable pollinators. In some cases they are obligate pollinators, being the only insect that will pollinate certain plants.

What sort of damage are you experiencing related to these bees that destroying them is deemed necessary?

Mine works, it consists of a wooden housing with holes and a plastic bottle attached to the bottom. But as gardengal says they are excellent pollinators that are presently all over my blueberry bushes. Once the BB blooms have set fruit I'll hang the trap under my leantoo where CBs are making swiss cheese of it's timbers. By the time my trap catches some of them they have laid their eggs for next year's pollinators. There has never been a shortage of Carp Bees here.

They drill LOTS of holes in my deck and sometimes woodpeckers destroy 2x4's to get to the larva. I am out there for house a day 7 days a week killing them with a tennis racket (out of mid air). It is pretty bad. I can kill 10 a day for a week and it seems like there are the same number of bees.

Call an exterminator. You have to get the larva in the holes in order for the treatment to be effective, otherwise, you'll just have another brood. I have to call my guy every year around June -- the joys of living in a log-sided house....

They are too valuable for me to kill. Most of where they drill isn't an issue. But the couple spots where it is, I tend to seal up the wood. They just move on to somewhere else then. I have plenty of other nesting spaces for them to choose, heh. So I guess my mode of trapping is getting them to nest where it's OK and sealing up where it's not.

Buy a bee house and place AWAY from your deck. Seal the holes in your deck. Move them away from what you need to protect.

Not a bee house for carpenter bees. They don't use the premade holes, that's other bees. Carpenter bees like a chunk or few of untreated soft wood like pine, fir, and cedar to chew a nest in. Preferably weathered a bit. Extra if is where it gets moist, but protected from direct precipitation. It's part of why they are so attracted to our construction- a lot of it is made with the wood they like most. If left to weather or unsealed, it becomes softer and nicer for them to chew.