If all you do is add the cover and the current changes the indication is it has started to oscillate. Possibly the enclosed space is forming a cavity or some output current is finding its way back to the input.
My first thought is to add a layer of RF absorbent foam to the middle of the cover. Keep the edges clear so they still screw down but cover the inner area with foam to reduce the risk of feedback and reduce the 'Q' if a cavity is being formed.
Brian.