I am sure many others will chime in on the best outfitter.
The key regardless of who you go with is research, call references, ask questions. You can even google outfitter questions, so that you will know what to ask outfitters, if you have never been.
I personally have been on the two listed below and recommend them. I would go again with them, if searching for that area, but looking for another state now, most likely CO and doing my own research.
I have settled on H & H Outfitters out of Meeker. It is a lodge hunt, (not what I was looking for) but the other 5 guys I am going with are well....not into backwoods, horses, and all the stuff that makes a hunt...
Here are the two that I have been with and highly recommend them:
Montana:
Black Mountain Outfitters - Hunts
Idaho:
Mile High Outfitters
Both are true wilderness hunts, great food, guides, experience and will work hard for you.
Others will give you their suggestions as well...do your homework