The basic answer is, all this is up to the printer manufacturer. Some models may allow black-only, others don't. Some allow black printing when you're out of color inks, others don't. The printer's internal software/firmware and the printer driver work together.
I suggest looking directly at the printer's physical control panel. If you can't do what you wish from there, it's by design of the printer manufacturer. If you can do it from the printer's control panel but not when using the computer's printer driver... write to whomever is responsible for creating the printer driver. Usually that's the manufacturer, even when the drivers are actually distributed via the computer's OS.