ditto that on the CC12. You can put in a separate button for lowering the blinds.

Or a CC62, which is a six-relay version of the CC12. I have one of these lowering a screen, closing drapes, and controlling the opening/closing, rotate/straighten out of a slide/rotate fixture. Bought all of the equipment with a need for 12 volts to start or stop, then use the CC12 to decide when the 12 volts goes out.

I find it best NEVER to use a trigger voltage from a component to directly control a device such as a screen or blinds. If some engineer was overly optimistic about the loads his trigger voltage would see, a screen relay could overload and actually blow the circuit, meaning the Faroudja or projector or whatever would need repair. No, if I am relying on the trigger voltage, I always put a low current relay or a transistor switch between it and the controlled device.