In crowded situations like that I hold the camera well over my head and pointed down into the crowd. You get a lot more faces in the mix and shadows are less of an issue. If you PM me your email address I'll send you a few samples, flash mixed with available light. A tripod or monopod has no place in such a chaotic scene. YMMV, of course.
Edit: IMHO, what's important in such photos is NOT how peopled react to the camera, it's how they react to each other in the joy/heat/laughter of the moment.