Sorry to say that I can't be of help with an outfitter recommendation. There are tons to choose from. I will offer the following advice: determine first the surroundings you'd like for your hunt. Many people have a vision of elk hunting, and part of the experience is fulfilling that vision. You can find elk in the plains, in the rocky river breaks areas, dark timber, high alpine meadows, sage brush, etc. Each terrain is demanding in it's own way and each present different hunting challenges. Personally, I'm a sucker for the high alpine meadows and wilderness areas - so I'd be looking for something into the beartooth or the Bob Marshall, etc.
You've probably thought about this already, but I'd hate to have you come out here with a vision of bagging a bull on a mountain ridge and end up in a sandy, dry river bed.