There are usually leftover cow/calf tags in some areas which can be purchased after the draw is complete (August, I think). Most of these will be places where access might be limited due to private lands. For instance, this year I didn't get my choice of a 34 archery tag, so I got an over the counter cow tag for that area (didn't matter, I only saw bulls :bang head:).
Northwestern Wyoming has had the elk ravaged by wolves, and areas around Dubois have quite a few grizzlies, so keep that in mind as well.