A/V gurus....
I am looking for a HDMI switch box, which seems difficult to locate. I may be using the wrong search words. There are many 2/3/4/5 HDMI-IN with 1 HDMI-Out switch boxes. But I am looking for 1-in and 2-out, selecting between the two. I am calling it "Reverse". Maybe the diagram below helps to describe the desired configuration.
I want to have a direct connection from the Cable Box to the LCD TV, keeping the Surround Sound system out of the loop. But when using my new projector I want to have the Cable Box connected to the A/V Receiver. So either the TV or projector will be on, there is no desire to have both TV and projector on at the same time. Right now, I am manually plugging in the HDMI cables into the desired display--a pain.

So what is this HDMI box called? Any recommendations on Brands/Models?
Thanks for any help.
Ed