I plan on stripping mine and sanding it down in the summer then painting over it. Any ideas on which paint would work best?
Board is outside in a shed.
My approach if starting from scratch and there's a concern for mould/exposure to the elements. Is to treat it like it is outside. A coat of wood preserver on first, soak in and dry for a day, then a good quality outdoors stain/paint... like a decking paint. That anti slip stuff is pretty hardcore. Don't use any outdoor paints/fence paints, generally they're fooking uesless.
Re the damp issues... air movement has to be thought of as how many times the air in the space/building is replaced. Air changes per hour. If you find a way of continuously changing the air, bringing in relatively less moist air from outside and replacing the relatively higher moisture laden air then you stand a chance of controlling damp. Dreaching my memory (previous career in building service design for which I've purged most off it now) you need to be looking at 1-2 air changes per hour. Easily achieved with a small extract fan. Ideally extract one end of room, some form of equally size vent the other.
What I'm saying is, if you can fit one, in a door or window, stick a 4 or even better 6 inch extract fan in. If you can control it with a humidistat. Mains connected. Screwfix job will cost you £30-40. I'd like to see this not work.
Dehumidifying, the room needs to be completely sealed up, insulated and heated to work.