Idaho is always in need. In fact, you may qualify to have loans paid off - check out National Health Service Corps loan repayment program.... The largest cities in Idaho are Boise, Pocatello, Idaho Falls, Twin Falls, Moscow, to name a few.
We have the same bad winter weather as Utah - only maybe a longer season by a month or so. If you ski and hike and fish, this area is paradise.
As far as your specific employment needs, I don't know - I just know that we seem to always need NP's