Jerry,
Great idea for getting really close to a perpendicular to the surface of the tang quickly. I use magnets for a lot of things, including fixturing, etc. I use these "Ultra-High-Pull Neodymium Magnets" from Mcmaster Carr. They are incredibly strong and come in a wide variety of sizes.
Funny story about these very strong magnets.....well not so funny for the nimble nut who did it......At any rate, I had two magnets, each 5/8 inch in diameter. These particular magnets had a pull strength of 27 pounds....each....and I was using them to keep some sliding doors closed. I had them in my pocket when I went to the hardware store and I showed them to the guy behind the counter. I had one in my upturned palm and was moving the other one around under my hand. The one on top moved to where ever the one underneath moved. He said, "Hey let me try that", so I handed him the magnets. I turned away for a second and I heard the guy yell. When I looked back, he had one magnet on either side of his ear lobe. Now I don't know if any of you have squeezed an ear lobe with 54 pounds of force, but this guy was dancing around on one foot trying to get the darn magnets off without pulling off the whole ear. I couldn't really help him and it was fairly humorous to watch. When we finally got the magnets off his ear, it looked like his ear lobe had been hit with a hammer.
The moral of the story is, if you use these magnets, don't try to wear them as earrings.