Don't let all of this information discourage you. Like Amechanic said, the DOJ registration is no big deal. You do it online and it doesn't cost anything. If you aren't registered, I doubt any shipper will move the slot across state lines.
I had two slot machines shipped to me by FEDEX. I don't know if they will crate the machine for you but they do an excellent job shipping.
One thing you should probably make clear in your raffle is that you will only ship to a legal location. If the winner resides in an illegal state, they must provide you a legal shipping address or pick it up themselves in AZ. One option that worked for me was having a slot shipped to a neighboring state and held at the freight depot for customer will call. I picked it up there.