Do you have preference points? I was just looking at the drawing odds for non residents, and you had better be really lucky if you don't have a bunch of points. The odds aren't very good. Don't want to rain on your parade, but that's the facts.
That said, there are almost always leftover 67,68 and 69 tags for archery (type 9). They are any elk tags, and there is a lot of wilderness in those areas, but area 68 has less wilderness, and if you drew, I could point you towards what used to be some good places in area 67 that aren't wilderness. The problem with that is that Ursus Horribilis is common, so you might have to fight a griz for your elk if you got one.