This won't get me to Paris, and it requires an investment of time. Nevertheless, it's still an weapon to keep in my travel hacking arsenol.
http://www.autodriveawaydc.com/carlist.html
"In North America, there are a lot of companies that will pay you to drive someone's car from point A to point B. Maybe they are moving, or the car was bought online – who knows, but you are essentially a car courier. They give you the car, a date to get it to the destination, and gas money. It's great for long-distance travel. In Canada, hittheroad.ca is the major national company. It's hard to find a national company in the US, but this website provides a good directory of cars on the move: Autodriveaway."