Re your questions:-
1. Does the issue occur if you connect the projector to the Dell Studio Hybrid DVI port using a DVI to HDMI adapter?
Yes I purchased a converter on the weekend and I can report the same problem DOES occur.
2. What version of the Intel(R) graphics driver are you using?
I have tried using the dell driver, then I tried using the latest update utility from intel and then I tried a driver from the intel web site that was specifically for problems with HDMI not displaying etc.
Unfortunately I don' thave my PC here with me so I can't be more specific but I feel like I have tried lots of different drivers.
Happy to try more though