Have you tried to write some Acrobat JavaScript to obtain this information for each attached monitor. Some computers can use more than one monitor at a time, so you need to select the monitor.
For the primary monitor:
var monitors = app.monitors;
console.println("There are " + monitors.length + " monitor(s) connected to this system.");
console.println( "Color depth of primary monitor is " + monitors[0].colorDepth );
console.println( "Sizeo of the primary monitor is " + monitors[0].rect.join(",") );