So after I've already ordered a new DVI cable from Cables-n-Mor, a friend of mine just got his LCD monitor (he's been waiting for over a month because of the shipping problems in California) and lent me his DVI cable. I tried connecting my computer to the LCD (by the way, it took *five* restarts after installing my new motherboard before Windows saw my USB mouse -- Red Hat 8 detected and installed USB 2, FireWire, etc all on the first boot, and it all works as far as I can tell) using his DVI cable, no luck. I tried connecting my laptop to the LCD using his DVI cable, no luck. I tried connecting my laptop to his LCD using his DVI cable, it worked fine. I tried connecting my LCD to my computer using VGA, it worked fine, same with my laptop. So I think I can state with modest certainty that the problem is in the DVI connector in my LCD monitor.
I guess I'm going to try to convince Planar to take a look.
I am not having good luck with computers.
But hey, my new motherboard is great!