Here's an update:
I got the manual off of KLOV and checked the main fuse and all of the connectors. I also checked the voltages going to both the board and the monitor (all were good). After cleaning the connectors, I turned back on: still no video (nor did O see a glowing filiment in the monitor), but it didn't make the hideous buzz in the speaker. It "bongs" once through the speaker, the LED's light up on the PCB and the sound board, then there are computer sounds (whizzing and chirping) from the speaker. After a few minutes, it goes quiet then starts over again with a "bong".
I've been doing some searching online for the monitor chassis (it's WG 25" K7191) to see if I can figure out why it's not doing anything. I didn't find a schematic for my chassis, but from pictures of the K7000, it looks like it should have a fuse. I didn't see one, but it's pretty dirty; I'll clean it up a bit and look for the fuse there as well.