Jeff,
ICM ticked and no color adjustment ticked. and ICM Ticked No color adjustment unticked
ICM Mode with Host ICM selected
No color adjustment is where the Application (QU in our case) manages the colour. The printer profile is specified in QU and the driver does nothing in terms of getting the correct colours on the print. This is "proper" colour management - you do need a good printer profile that matches your printer, ink and paper type.
ICM Mode is where the driver manages the colour and QU is also set to "let printer/driver manage colour. I don't know what other printing applications are set to for this. QU does use a special do-it-all profile when this is set, I've always been a little vague about this!
My R2000 printer has a basic and advance ICM mode, the latter allows you to set the input profile and rendering intent. I don't often use this mode so have never experimented. I suspect your R1900 driver has similar settings.
It also allows you to use the "Host ICM", that I believe, is using Windows (= host) colour management, not the driver, so "ICM Mode with Host ICM selected" is the same thing.
I hope that helps - we need a guru for the detail (Mike?)
Terry