I don't get it.
I have been running Avons for 55,000+ miles now. Several sets. The only time I had a wobble was when one of the front Avons was very worn and cupped. This was after 12,000 miles of no wobble. The 3 or 4 other Avons fronts I have used have never exhibited the wobble. And one of those I replaced at a VERY worn 18,000 miles. On my prior bike to the FJR - a Concours, the first time I ever used a set of the Avons, they actually got rid of the decel shake I had been experiencing with Michelins.
Now the decel wobble, really it should be called a shake, is the result of many variables. Suspension geometry, suspension settings, rear tire characteristics, head bearing lossesness/tightness, front tire condition, air pressure, and balance. Lots at work here.
So why do I not get the shake? Air pressure 41-42psi, and perhaps cause I am lighter than most at 170lbs? I just don't get it.
And remember, lets get our terminology right here. The Avon "wobble" is because of the tread pattern, and is felt at speeds below approximately 5mph. Usually goes away in short order as the tires are worn.
A "shake" can happen with any tire, usually when they are worn or cupped, and most often occurs during deceleration in the 45-50mph range, though can occur in many other conditions too.
Solution?
Don't let go of the freaking bars!!!