I'll toss another one out there for others to ridicule.
University of North Dakota Arrows. Arrows are not strictly a weapon of the Native Americans, so it cannot be pegged as Native American imagery. It is also on the North Dakota State Seal. Only one other college uses the name, Ursuline College in Ohio. You could even add an arrow to the interlocking "ND"
I still would prefer "no nickname" and "Dakota" on the uniforms, but as others have said that may not pass muster with the settlement.