Does a splatter screen prevent grease build up in kitchen? I love to stir fry. What I don't love is the sticky grease coating that over time accumulates on every surface near the stove, including cupboards, kitchen items and the floor.

I don't have a range hood and can't get one because my kitchen is not on an outside wall, so I'm thinking about getting myself a metal mesh splatter screen. 

It's obvious that such a screen works well against the bigger splatters since the drops are simply too big to pass the gaps, but will it work against the fine mist of oil that causes the sticky coating as well?
I use a splatter screen any time I sauté or deep fry.  I like the Cuisipro 13" screen.  It's all steel, has metal feet on the rim so grease doesn't get on the counter when you put it aside, you can hand wash or just toss in the dishwasher. Mine is also sturdy enough to use as a makeshift cooling rack.