I honestly don't think the "oosers" are the problem, and I don't think this is the solution either.
Only 13% of the WMA permits purchased last year were from non-resident hunters. I'd be willing to bet most of those hunted 5-15 days max.
My family lives there (father and cousins), and I have hunted it pretty hard for about 7 years now(hunted it regularly before then, but not hard). Yes there is always out of state hunters, but 13% is 13%.
I truly hope it never goes to a draw, but I don't think there will be an noticeable difference in people in the woods this year.
If anything, it will concentrate people more if a rumor gets out that XYZ WMA has a bunch of birds on it.