I was practicing the same technique and encountered the same problem. The clacking noise was somewhat irregular and out of time so I resorted to keeping the bottom end of the bellows buttoned shut. After a half hour, it wasn't much of an issue because I was able to play the reversals just as fast with the clip unfastened and the bellows opened slightly wider (about 2 inches at the bottom).
My three voice Club needs significant bass work to be a regular box, but the two inner rows and much or the outer row are functional, with two working chords to make playing fun. With the "Hoover Dam" air lever on the Club I don't worry much about running an unmanageable bellows. In fact I use the air bar frequently. The three voices don't really start to shine until you open them up a bit.