Don't need to win the lottery just move to BC. Sheep tag is about $60 bucks, moose is $25, elk $25, black bear is $20, grizzly is $80.
Only things you need to draw a tag for is grizzly, dall sheep, and buffalo. If you don't mind a bit of a drive and a hike grizzly you can draw every year, dall every few years. Buffalo is harder, everyone wants one, but one every 6 or 8 years is common. Though I know a few guys who haven't drawn in 15. Luck of the draw and all.
Also it's a no point draw system. Everyone has the same odds.