Although not a liveaboard, in several years of cruising all over the country between March and October, and stays on the boat in winter, I never failed to find a sufficient supply of dry wood, either fallen or (preferably) standing dead. I was fortunate in my winter mooring at Sowerby Bridge, in that the Calder & Hebble seemed to have plentiful resources of suitable firewood, although I did manage to find enough in most other areas as well.
It did involve a constant lookout for firewood, but that became (and still is at home) second nature.
On the boat and here at home: