As the bears increase in population they have been spreading out of the northern areas, but it takes time.http://news.yahoo.com/yellowstone-area-grizzlies-no-longer-protection-u-says-120328825.html
In my opinion there are two options:
Option 1: Allow a boar only hunting season with limited permits 25-30
Are you going to get him to lift his leg to make sure that it is a bore and not a sow that is by herself
Option 2: Transplant 250 bears to other grizzly recovery areas. Yosemite, Rocky Mountain National Park, Frank Church Wilderness, Bitterroot Range, etc
From what I have read bears don't like to be transplanted. They have a very strong homing instenk.
Grow the populations in other areas and/or manage the population in Yellowstone
I wouldn't hold my breath if they do have a draw for a grizzly. I believe that the odds of drawing that tag would be the worst odds that you could ever have. It be like winning the Power Ball twice in a row.
By the way Powerball is a a lottery for just about all the states except for Utah.