I followed your advise and tracked down the Prez of the EAA Chapter 66. He's building an RV 10 or something.
I told him the problem and he said, "try this first" and he gave me the strong magnet on a telescoping rod.
By turning the magnet sideways a bit I got it into the oval hole.
I then fished around till I actually felt something. I lifted it up and it kept dropping off the magnet.
So, I used leverage. I extended the pole of the magnet devise to about a foot long and pushed it down and in. It grabbed something. Using the leverage I lifted it up AND SAW THE **** END OF THE CABLE!
I slowly pulled it toward the oval hole.
It was still inside the empennage so grabbed one of the sides with my needle nose pliers and pulled it out!
Then I thought "Now what do I do?"
All my tools etc. were elsewhere as I really didn't think I'd have any success. So I thought about what I could do so as to not have to repeat the whole process and looked down and saw a bit of safety wire.
So I put the safety wire through the end of the cable eye. I got my vice grips and now have fastened that to it too. So, if the SOB is going to try to escape again it will have to drag the vice grips through the oval hole.
Thanks gentlemen for your expertise.