I'm down with this, but with a twist. Let's take this game to the people of North Dakota. One game on campus each each year, and the second out west.
So one year you are at NDSU and the Minot State Dome, and the next you are at the Betty and the Bismarck Civic Center. I would probably do the western games as doubleheaders and have the women play to and do it up with a fanfest type atmosphere - really let both schools promote themselves.
I'm not sure of the seating capacities, but there might be some other sites that would be doable - Jamestown Civic probably seats enough. I don't think Dickinson or Williston has a large enough facility as of now, but that could change.
Agree that it's much preferable to the games against the likes of Presentation College and Minnesota-Morris.