Great. Let's roll this out everywhere. Actually it would be nice to do something about cigeratte butts too.
You could ban cellulose acetate filters, which do not readily degrade. One day we may figure out how to make cigarette filters that are more biodegradable. I also recall reading about a group training birds to collect cigarette butts.
Carbon impregnated polyester works just fine as a smoke filter and is readily degradable.