Not much that you can do about humidity in the air unless you seal up the building and install an HVAC system. Humidity in the air isn't really that much of a problem with mold, but condensation can be a huge problem. There is a big difference.
Yeah, I'm mostly trying to get it down to around 50-60%, which is normal here in Oregon...but right now when I walk in there it's like going into a greenhouse. I'm going to install a permanent power vent somewhere. I am trying to "seal" it up as much as I can otherwise, there's lots of little holes and things around, but no water leaking in...
When I'm done I want it to be more like a "garage" than a "barn", I don't have any animals besides a Dachshund. But it will always be called "the barn" because I've always wanted a barn.
Is the roof metal? Condensation forms on the surface of materials when you get a change of temperature from the outside to the inside to such a degree as to form water.
No, it's OSB covered with asphalt shingles.
Most likely the smell is because the guy was using one or more corners as a bathroom

May seem counter-intuitive but does the floor have good 'run-off'? Can you start by washing the whole place down and then worry about drying it out? Dusting the place with baking soda might help as it is supposed to absorb odors.
Yeah, I don't think he even made it to the corner. *sigh* The floor does run down hill pretty well, that's where I want to lay the plastic so water will run off like a roof, and then a level layer of gravel on top. I've tried rinsing the floor with mixed results...I think the easiest way to clean the gravel is to rake it up into a pile and "water" that for a while.
Of course I'm trying to keep the water to a minimum for obvious reasons...

Anybody wanna come help me rake gravel? Free beer....
Eventually I'd like to cover it all with concrete, but that won't be for a while. What do you think about asphalt as flooring in a barn?