I'm putting on some 404's for the first time and having a major issue. The little "wings" that jut off the bottom of the brake shoes are hitting the carbon where it bulges out just below the rim. I've never had this problem before, but looking at other racing wheels I have used, (Hed Jet, Hed3) the Zipp is the only one where the carbon fairing juts outward to be wider than it is at the rim. Anyone else have this problem? Any solution? I've tried two different sets (one Ultegra, one DA) and different ways of spacing it with washers, etc, but no luck. And what are those wings there for anyway?

For the time being I pulled some 20-year SunTour brake shoes I have on an old bike sitting on the trainer - the "wing" pieces on those come off separately, so I pulled them off, but they are shot and are just a temporary stopgap.