Mike: try to get the bead of the on side (assuming you have one side on) into the channel in the middle of the rim. That might help. Then try to work the other side on with your hands, using tire levers towards the end. If you succeed in getting it on, compress both sides of the tire and look down along the bead and rim to make sure you don't have tube sticking out anywhere.
If you can't get it on, you might want to try a tire jack such as the Kool-Stop. Good luck, and keep the cussing to a minimum
I know, it isn't funny...
Re: the Conti GP-4000 tires: I haven't used them, but did hear one bad thing about their traction on wet surfaces. One guy on BF was talking about going down a hill with a curve with some water on it at around 35-40 mph and having the back end come unglued. He managed to ride it around the curve without falling. When he got to the bottom, he said he got off the bike and puked his guts out. Sounds like fun! He prefers the Veloflex Pave or Master 22s.