It depends on several factors, but my bias would be "no". The championship is a nice experience, but doesn't really do anything for you personally. That is: It won't get you a real job, and it won't get you a sponsorship unless you are one of the top runners. And if you are one of the top runners there, you could be a top runner at Stanford, Notre Dame, Wisconsin or Michigan. Did winning two NCAA championships at a collegian result in Tim Hacker (Olin's dad) having a great pro career? Not really, although he didn't do badly. But the Wisconsin educational opportunities led to a PHD and a professorship at the UW. That is winning.
Can you get a good education at NAU? I expect so. But you can get a good education lots of places. The real question is what degrees mean more to employers and grad schools. If you aren't planning on grad school, pick the best school with a good running program. Why do you think McDonald and Hoare chose Wisconsin over NAU? If you are thinking of grad school, NAU might be an OK choice if you apply yourself and get top grades. Otherwise, you should be headed to other schools.