HM,
You can go on line and look at the draw odds for 2011, there posted now. Remember its a random draw for res and non res and Yes the odds are steep to draw tag here. What is the app few for non res sheep and moose? Don't feel too bad, WA doubled the app fees for sheep, goat, and moose along with quality deer and elk, and trippled the tag fees if you should get lucky and draw, for us residents. If I was a non res and had to pick just one species, I'd pick moose. More tags which makes the draw odds just a hair better than the rest. I have 16 sheep and goat points and 14 for moose. We'll see what happens come the end of June when they draw.
Good luck in the draw, you will need it in WA.