This is a cool idea. The town - Burns, OR - is almost the textbook definition of "the middle of nowhere".
It is the stop-over point on the way to the Alvord Desert.
To get to the desert, you have to go from Burns, and pass through the Steens Mountain Wilderness. It is literally hundreds of miles of rugged terrain, desolate highway, and (in some parts)
unpaved highway ! (ugggh)
The trip is one of the very few places in the US with no services whatsoever -- fuel, cell signal, etc. There isn't even any real bathroom along the way! (ask me how I found out about that...

) You break down on that road, you're properly screwed for many hours (or days) until someone shows up to help. Bring extra gas, food, and water.
The Alvord desert is awesome though. +1 can totally recommend if you have the gumption to do it -- you can drive on the playa!
Just make sure it is completely dry, or again... you are totally screwed. And in the middle of nowhere.