Born and raised in Minnesota, here!
Where in MN are you from? I've lived in Prescott AZ for over three years now, and I'm convinced that the weather here is absolutely perfect. Unlike down in Phoenix, we do get four seasons here, but it still gets hot in the summer (not 116, but in the 90s with a very strong sun), and the winters are incredibly mild (think March weather in Minnesota).
The Prescott area is a smaller community than Phoenix or Tucson, and definitely has a very small-town feel, but it's growing quickly, providing lots of opportunities in healthcare. The main hospital here, Yavapai Regional Medical Center, is opening a second hospital that's slated to open in mid-May. They're starting their new grad RN program at the end of July, and offer a $2000 sign-on bonus, as well as a relocation reimbursement (with a max of around $1800).
There's also the VA Hospital here that has excellent benefits and is starting their first new grad program this spring, and a new rehab hospital is being built and they anticipate it being ready to go this summer.
Anyway, check out Prescott! I love it here, and have no plans to ever move.