Lancelot, Perry had commented that the Tayana was a difficult boat to balance.. citing the mast being pretty far aft and the rake...usually the complaint was weather helm..
His solution was to suggest taking the rake out of the mast....How does that match up to your experience?
Have you tried staysail..and no yankee?
Since the staysail is on a club boom it's not easy to back wind. My mast has no rake to it and it does not suffer from excessive weather helm. In fact I'm able to adjust the sails such that I can leave the helm on a close reach and the boat will stay on course if the wind remains constant.