Peale -- Are you using the ATI Rage with AdvanceMame to an arcade monitor or just with Mame32 to a PC monitor?
DOS Mame to an arcade monitor, a K4600 to be precise!

As for the link to monarc.sys...no wonder you couldn't find it, I got it backwards. It's arcmon.sys.
http://www.mameworld.net/pc2jamma/downutil.htmlAs for touching up the joints...it should take you about fifteen minutes. All you have to do it take your iron, touch the joint, make the solder molten, and release. Since you started with the caps, I'd do those first to double check.
Also, check to see if there is raster at all by turning your screen control all the way up.
My monitor should display something with no input? That doesn't seem to make sense.
I never said that. I said that it'll display DOS text just fine, although it will look odd (since it'll be @ 31KHz). When the arcmon.sys driver kicks in (make it the first line in the config.sys file) you should have immediately readable text.
If when you hook it up, and you're still getting red squiggles, one of two things has happened:
1) your monitor still isn't hooked up correctly
2) there is something else wrong with your monitor. Like I said, take a look for cold solder joints.
I know I asked before, but: do you have a camera that you can use to take a picture of the screen?