As krick mentioned, there is that known problem that affects interlaced modes in Win7. My advice is to use XP64 for CRT stuff. However, if yours is a multisync monitor you might avoid using interlaced modes and stay with Win7.
1) Do I need to install anything else besides GroovyMAME? I also have the Tri-Sync utility installed.
2) I don't need to run any resolution ini generator tools, correct? GroovyMAME should work without them.
3) What command-line options should I use? What is the correct -monitor value for my monitor?
1) You just need GroovyMAME if you're using an AVGA3000 (modified drivers are just for normal ATI cards).
2) GroovyMAME should select the right modes without any ini generator tools.
3) Use the -video d3d in your case and -syncrefresh -soundsync if you want to have perfect scrolling/no sound stuttering.
I can't remember if anyone has already used that monitor with GroovyMAME. If you have any documentation on that specific monitor we'll try get the right values for it.