Camping and Lodging

HOTELS
Closest town to the race is Cle Elum, which is about 40 minutes away.  Here are some options.  I'd also recommend looking on Yelp for detailed reviews.
Stewart Lodge
Timber Lodge Inn
Iron Horse B & B 

CAMPING 
There's lots of options for camping. On the way to the start you pass two forest service campgrounds (Taneum and Ice Water Creek) and the start/finish is at the Taneum junction campground-- all of these are pretty simple/basic camps. In Easton and Cle Elum there are state parks and commercial campgrounds too.