If you have the money, then spend it to go to WA or NM and get a valid license.
If you don't, then call someone in your home country [hopefully you know someone] and have them send a photocopy of a drivers license. Once it gets here, get creative and fudge around with the license copies so it eventually looks like a license that belongs to you.

Then, take it to your nearest international DL office and get your own license. This is the cheapest method. Runs around $150 to make.

Drive safely, and nobody will suspect a thing.