Copper for cell incubator to prevent contamination
First thing I'd do is replace the HEPA filter. A copper plate/foil may help, and it certainly won't disrupt the flow of heat, as copper is incredibly conductive (that's why they make electrical wires out of it), and poking holes would help with the airflow, but a new filter will probably make the most difference. I've never used a full-copper incubator, and the few serious contaminations I've had to deal with were related to the HEPA filter and poor TC practices.

If you haven't already, I'd institute a good routine cleaning program as well. Change the water bath each week (make sure you're adding fungicide to the water), and wipe down the whole incubator with bleach followed by an alcohol rinse each month. Make sure you clean all the bleach off, as it corrodes metal if left on very long. At the same time, clean and autoclave all of the removable components like shelves, rails, and water pans.

Good luck!