Not complicated if the projector DVI is HDCP compatible,
Connect the streaming stick to one of the HDMI outputs of the Sony receiver.
Connect the Sony HDMI out to the projector DVI input with a cable that has HDMI at one end and DVI at the other or use an adapter at one end. Which adapter depends on the type of cable (DVI-DVI or HDMI-HDMI) you have.
You could also connect an active HDMI to VGA converter to the receiver and use the VGA input. The DVI will look better though.