I'm also assuming that you tried every HDMI input connection on you receiver with the same result.
Try "resetting" the microprocessor.
Here is a link to the relevant section in the owner's manual that shows how to do it.
The HDMI controller (see image below, taken from the service manual, see link below) is as you can see separate from the other types of video throughputs. It may be that if resetting the microprocessor doesn't resolve your problem that until you get the HDMI section fixed that you may be able to utilize the other input options to connect to your projector. As long as the projector has the same video input types.
There are flow charts in the service manual which give details on what to check in the event of "no video" but since I don't know what kind of test equipment you possess or what level of technical expertise you have it may or may not be of any help.
I'm sorry that I cannot be of more assistance.