Hilyna,
There isn't a good way to remove the display from the PBG4 without actually taking out the logic board. If you want to continue using the machine when you're done, I'd follow the guide exactly and do not skip steps for safety's sake.
In your model, the AirPort card is inside the body of the machine. I've taken those displays apart a lot to replace the hinges... I can assure you, there aren't any antennae in the display.
In fact, I've run a headless Titanium for a while just showing keynote presentation slides on a TV in my repair shop. Works fine to do it as you're suggesting.