I had a new deck built a couple of years ago through a great landscaping company as part of an overhaul of the back yard.
They subbed it out to a carpenter, who was timely, professional, and part artist.
When I asked him how he found the job, he said he just looked for someone that wanted a carpenter.
Maybe Craigslist (I know you have to screen the responses), HomeAdvisor, or a posting in the local stores. I tried calling the number of the carpenter who did ours, but he has moved to another state.