Another quick update. I got shuttled around a bit, but was able to talk to someone at Avon and the retailer (Motorcycle Superstore). Avon appears to have a decent warranty policy and will replace the tire as long as it hasn't been raced, is withing a certain level of tread life, and less than 7 years old. They obviously need to inspect the tire to make sure I haven't performed any illegal voodoo on it. It's not clear yet how much of a credit I can get for the tire, but the general guidelines look to be a full refund if the tire has more than 50% tread life and prorated if there is less than 50%.
As far as I could tell Motorcycle Superstore didn't really understand the Avon warranty process. Because I bought the tire in 2011 it was beyond their general one-year policy. But Avon won't take the tire back directly so you have to go through your retailer. Anyway, after multiple calls back-and-forth I now have a return authorization number from Motorcycle Superstore and I'll be sending the tire back to them as soon as I have a chance to get a wrench on the bike.
The bummer is that this is my everyday bike. With such a short riding season up here this process is going to eat up some valuable time. I knew I should have worked harder on that project bike over the winter.