So, I'm doing the same thing.
I work for an off-road manufacturer; we make skid plates, roll cages, roll cage add-ons, etc., and I take and edit the images for the site and media. I envy your greenscreen room, as I have to get creative and hang 2x20x30 green screens as needed.
Anyways, on to the point here:
I run into this same issue. Green works for me because the items are black, red, and blue, and if they are green, it's a neon green, so it's not that bad.
Most of the time, on the black items, glossy or textured, I can adjust hue/saturation to get the green out. Some of the yellow is left over and the cyan, and I am left with a pretty cool looking image, and the color reflections come out right for the most part and look normal.
When working with the chrome, same kinda thing, but it works out. After it's selected and cut out, I filter the unwanted color, sometimes having to layer parts that are affected more than others, and use different hue layers, and then merge them with the parts to make them look correct.
Now my issue is, with the new colors, like neon pastel blue, and some of these bright colors, it's hard to edit without taking away from the "brilliance" of the original images.
So I feel there's a better way to get this green bleed over reflection out of the items and reflection?