I think this is possible, but unlikely. Most companies that need to move cars actually pay for gas and perhaps cash for return trip, but have a seniority-based list of drivers. The folks who have been doing it longest get their pick of available trips and newbies are unlikely to get ANY trip.

There are individuals who need cars moved — look for ads in big city newspapers — but that seems pretty hit or miss for getting across the country on any sort of schedule. These deals are individually negotiated. All kinds of regulations, insurance requirements, etc. mean that it can not even appear that you’re being paid to drive the car, so you could negotiate for gas and other expenses (don’t know if you’re likely to get it), but nothing more. Gas is relatively cheap in the US, (around $2.00 US per US gallon) so gas for the 2200+ mile trip would probably cost $200 US.

I’d be a little concerned about being "selected" as a driver… A car owner would probably think (rightly or wrongly) that it would be better from an insurance standpoint to use a driver with a US driver’s license. It’s the car owner, not necessarily the driver, who’s liable and thus must be insured in the US.

sometimes you can get good deals with rental companies doing this sort of thing.but its rare and can be a big hassle and never have I heard of it being free.Its just a way for rental companies to move there fleets of cars from one tourist spot to another as the seasons change.The only deals I’ve come across where one way rentals from florida in the spring to northeastern destinations and the reverse in the fall,early winter months.