I've got a vehicle green-screen room. Generally speaking, it works great. However, on candy-apple red there is a noticeable problem in post production:

See the green outline on the trunk and hood of the car? How do I solve this problem? Is this a problem in lighting? A white-balance problem (using a Cannon T3-I with 18% gray card)? Or, is it a problem that can only be solved in post-production on a car-by-car basis? What method would you use to eliminate the green-screen reflection in the photo?
Here is the original if you want to play with a post-production filter, or think you have something that might work:
