Okay, this projector is 3x as expensive as the Benq, but worth every penny.
Even my wife is of the opinion that the picture is even better than the Benq, I see no more RBE and the projector is also on the living room ceiling whisper.
Ingenious is also the HDMI wireless transmitter. When Benq I tested 2 HDMI matrix switcher and no one has even come close to working together with my equipment. The HDMI wireless transmitter, although not a full matrix, but does exactly what I need: my HDMI sources to the TV or projector (if this is on) by switching.
Who the projector is not too expensive: just buy it. There are cool movie nights with no noisy fan and no disturbing RBE.