Thanks for the replys. If I knew exactly what I was doing, I may try to open it up and insert a resistor into the circuit. My assumption is that there are a number of LEDs in there, lighting the keys and display, and all are probably soldiered to a PC board (with a common ground). Again, I'd be up to the mod if someone could help me know exactly where to insert the resistor.
(It's great that today's LEDs can work within a much broader voltage range than the older generations did, allowing them to burn from really dim to really bright.)