I don't know if they changed the system after Kilowatt's experience or what but this is straight from the NR application book:
"Preference Points for Elk, Deer and Antelope
Applicants for Full Price Elk, Deer and Antelope licenses are
given the option of accumulating a preference point. By checking the preference point fee option and remitting the proper fee(s), the applicant will accumulate a preference point if unsuccessful in drawing a Full Price license as a first choice. However, an applicant who draws a Full Price license as a second or third choice will retain all accumulated preference points and also earn an additional point. DRAWING A LICENSE AS A SECOND OR THIRD CHOICE DOES NOT CAUSE PREFERENCE POINTS TO BE DELETED FROM YOUR ACCOUNT."
Put in for a lottery type draw tag on your first choice so you don't draw and pick a unit you can draw on your second choice. Remember that they look at everyone's first choice before they look at your second choice. You may have to apply in the more expensive special draw to increase your odds for a decent second choice tag. I haven't really done much research on potential 2nd choice units but I believe there are a few general region tags that you may be able to draw on your second choice. I am sure some of the Wyoming guys on this site would be able to steer you in the right direction on potential units.
Hope this helps and good luck if you decide to apply...
Horniac