Probably the best boots, that will keep most of the damp at bay, are four season boots.
Made from heavier duty leather or synthetic materials, they can withstand considerable amounts of moisture, and only become slightly damp, when exposed to heavy rain or such like.
The only problem with four season boots, is that they tend to be expensive, and are a bit over the top for everyday walking.
The name Scarpa and Zamberland comes to mind, when i was looking for high quality footwear.
The best course of action, is to visit a seriously good outdoor shop, and ask to be shown various 3-4 season boots, and explain that your after quality, and boots that are not to cumbersome.
Quality will cost, but really good quality boots, will last the owner many years, as long as they are maintained properly.