For serious problems with wind I would look at adjusting my diet.
Seriously though, I do not think it is a matter of water drying too quickly, more likely the wind blowing back water from the sills etc, which probably contains dust/dirt.
You could try going over the sills with water flow off as soon as you finish cleaning the window to brush away excess water. For me though if it is that windy I would probably take the day off.