Here, Paul is referring to such fleshly sins that disqualify a man from preaching and leading the church, particularly being blameless and above reproach in the sexual area, since such sin is a disqualification (see Ps. (redeeminggod.com)
After talking about Amish farming methods — which are far from beyond reproach in some areas, but that isn't really the point of this post or Logsdon's — he makes some interesting statements about the differences between farming with horses and with tractors. (treehugger.com)
Mossack Fonseca said it has operated beyond reproach for 40 years and has never been charged with criminal wrong - doing. (totalpolitics.com)