OK! Finally got my pics on the puter. First off, the tools we used. What you see in the picture, was all we needed to actually return the lost valve to it's rightful home. Second, we successfully inserted the wire, and got hold of the valve for gluing. Third, wire glued to the stem. It was right after this, that we discovered the flexibility issue with the thick cable.
There's not enough room inside the cylinder to get the valve and that stiff cable under the combustion chamber. We then came upon the idea, of shaving the jacket off all but the very end of the cable. This would leave the part attached to the valve, wide enough to help center the valve in the guide to aid in reinsertion.
The last few pics, show the modified usb cable, and the success we achieved using it. The only thing we didn't get a picture of was the gluing process, where we had to use the pliers to hold the valve firmly to allow the pressure necessary for superglue to set properly.
As I said before, I believe that if the tools are all prepared in advance, it would realistically take about five minutes to actually get the valve back into the guide, and a couple more to secure the valve from falling.