It's an expensive fix, but it seems to be working great.
I upgraded my monitor to a new Samsung 225BW 22" widescreen LCD. The graphics are sweet as can be, sharp and clear. The thing runs at a native resolution of 1680 x 1050. That lets you play Links on a window the size of a 19" monitor at 1280 x 1024. Since I am only closing a window, instead of exiting from full screen, I have not suffered the dreaded crash all week. Another caveat has been the ability to chat with my messenger service at the same time, without Alt/Tabbing to exit to my desktop.
On a side note, you have to have a strong enough graphics card to drive the monitor at 1680 x 1050. The Nvidia FX5200 that was in the machine I am currently using was not powerful enough. Fortunately, I had a 6200 in another computer that is about to get upgraded to a 7600, so I took it out and installed in this computer and upgraded the driver. Works awesome, now.
Sorry to get your hopes up. But, I just had to brag about losing that [censored] error. That alone was almost worth the investment in the new monitor.