I applied there myself, as did some other people on this board, and I have some newer information for you.
I applied in-state. They are a non-AMCAS school, but there is an entirely online application which wasn't very hard. It includes an essay, so I just used my AMCAS personal statement. The application was due November 1st, and there is no secondary. Basically, if they like you enough, you get an interview. They interview from I think mid December to early January, on weekends,
and issue acceptances all at once after the interviews are concluded. The interview is 3 on 1, two faculty members and one student. I was expecting an inquisition, but it wasn't bad at all; the interviewers took turns asking questions. After a very short time the awkwardness disappeared and they were laughing at my jokes and we were getting along famously. I think they interviewed something like 150, accept about 100, and fill a class of about 50-60. Most applicants are in-state, but they have a special pathway for Native Americans (INMED), which I think accepts about 5 students; they have places set aside for WICHE applicants; and residents of nearby states like Minnesota; "long term" ND residents are overwhelmingly favored, however.
UND vastly exceeded my expectations. All the facilities are very new and state-of-the-art, the curriculum is progressive, and the students all seem very happy. UND is a great school if you are interested in rural medicine, but it is possible to match in many other fields (for exaple, I know personally of people who matched in OB/GYN at Iowa and general surgery at MCW, both strong programs).
Good luck, Stayce.