I'll post a different approach. I spent the summer bicycling across the US. I spent about 1200 bucks for the whole summer. I stayed mostly in campgrounds; however, the kindness of strangers meant that I had some warm showers and a real bed every so often. I've been across the US many times by car, train, and airplane; however, all of those methods seem detached from the surroundings. Bicycling was perfect to really get a true appreciation for a place.
Oh, in the desert southwest there are several places to see. Make sure to go to the grand canyon via oak creek canyon and Sedona. Awesome. Also, Navajo National Monument is really neat. If you can get to Southern Utah it is totally worth it. Moab has a hostel and all you would need to get around would be a mountain bike. There are lots of bike rental places in Moab. Las Vegas is OK if you like to see the how many people waste money (I live in Vegas). Death Valley, west of Vegas, is another place that is awesome.
Oh, in the desert southwest there are several places to see. Make sure to go to the grand canyon via oak creek canyon and Sedona. Awesome. Also, Navajo National Monument is really neat. If you can get to Southern Utah it is totally worth it. Moab has a hostel and all you would need to get around would be a mountain bike. There are lots of bike rental places in Moab. Las Vegas is OK if you like to see the how many people waste money (I live in Vegas). Death Valley, west of Vegas, is another place that is awesome.