I am by no means an expert on the matter and at first I was going to shot the idea down but after a bit of a think, it might just help.
I was going to say that one pane of glass will keep out humidity just as well as two panes will, but then realised that is only half the problem, the second half is that the glass is colder then the surrounding air and there for condensers the water out of it. So when you have double glazing the pane of glass that is in contact with the air in your house is warmer because you have used a layer of air (well nitrogen I believe) as a insulator and there for less temperature difference between the air in the house and the pane of glass so it is harder for condensation to form.
Still I think you might see better results with a dehumidifier.
Just thinking out loud. I am prepared to be proven wrong