Bigbore, from what I understand, the best place in the whole entire world to GET an elk is the Valle Vidal area in northern New Mexico. It has a success rate of something like 90%, but is extrememly difficult to draw out for and is a once-in-a-lifetime hunt. But, if you don't draw, you get most of your money back, so it doesn't hurt to try.
As far as good chances for drawing for a good area, maybe the Colorado boys should answer that one. Bill