What time of year? It's quite possible that you ran into people participating in the race.
Our route was E to W, 4400 miles over 4 months, with a 2 week children/grandchildren break. I can be more specific if needed, but we saw 3 or 4 TransAm nonstop (?) racers in Kansas on the TransAm route, and we met 2 or 3 GDMBR riders in Colorado.
We chatted with every WarmShowers host we met, of course, and several out west mentioned they were getting more Divide riders than TransAm. I would not expect racers on either route to use WarmShowers, but not asked.
I'm aware the building in Missoula is more than just an office, but it's raision d'etre is as an office. Converting to a hostel would not be free but would make more sense to me if not to others.