Why not replace the bulb with a LED bulb? That will take care of the heat problem.
LansShark - Thanks!!!
I recalled reading about this (LED Bulb) here before and this would probably be the way to go, this time around with the new sockets. Do you have a part number for the LEDs / are they available in local parts places or thru an on-line only? Please, if you have please provide some info so I can try to locate and get correct lamps.