Dick,
We had a similar issue. If you haven't yet, consider replacing the chandelier lamps with LEDs. This makes a significant difference in heat generation. I also just completed changing all my halogen puck lights to LED. The replacements give better light, look better, draw much less current and don't generate any heat. I'll email you info on the source.
The Uline ice-maker does draw a lot of current (~20a) and thus generates heat, but we haven't found it objectionable once we changed out the chandelier bulbs. Lowes and HD stock them.
Steve