You won't want to tow the car without making some arrangements to take the driveshaft out. If it is an automatic transmission serious damage will result because without the motor running there is nothing to circulate and cool the transmission fluid.
The 3,000 miles of towing will cause considerable wear on the towing vehicle, regardless of what it is rated for. It will also use a significantly higher amount of gas requiring more frequent stops. If you plan on keeping the Toyota long term I would not want the additional wear on it. If you plan to replace it before the warranty runs out, no problem. You will probably also travel at reduced speeds while towing, making your trip a little longer.
In my opinion all of the negatives (removing the driveshaft, gas consumption, increased tolls, slower travel, wear on the Toyota, increased risk) would convince me to have it trucked. The negatives of towing it would not be worth it over that long distance.
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