Hi,
Tinfoil might reflect the light well enough but foam board on the back, sides and bottom would really help stabilise the temp a lot more. You could also use the foil and air pocket insulation but I'm not sure if that would work for the bottom with the weight of the cage on top of it.
I'm not sure how close it would be possible to have it to the lamps so cannot advise on the top of the cage though.
On the plus side it is relatively cheap stuff that you should be able to find in most hardware stores and can be painted to blend in with your decor if needed.
dr del