I’ve never had problems with drying leather boots. I just loosened the laces and opened out tongue and let them air naturally. If they were a bit damp the next morning, I just walked in them. For many years I had leather boots with no waterproof lining and never got leaks, maybe due to regular waxing (of the boots not me
). I have often got my boots full of water from bogs, streams, etc., but never really worried about it. Skin is waterproof after all. Damp boots have never given me problems with blisters, only badly fitting boots.
I am not convinced by waterproof linings for leather boots and would happily do without them, although that is not always an option nowadays.