We have never had a problem finding tradesman, whether general builders, or one man bands. I know of 3 one man bands in the village. One of them does most of our small jobs. We may wait a few months before he can do any job, but that seems reasonable.
There are two privately owned builders based in the village as well. One has worked for us for years, we have never used the other, but will probably ask him to give an estimate for our extension.
I live in southern Oxfordshire, where we have one of the highest building targets in the country and also a lot of well paid jobs in the electronics and high tech areas. So plenty of alternative jobs,
We have several times found tradesman by speaking to them when they were working on other houses in the village.