Alum is only a very temporary a solution for your lake since it is "normally" clear. Also, a natural turnover is not going to cause turbidity, nor will 20 ducks muddy 11 total acres. Until you find the mechanical cause for the turbidity, the water will not clear except when under ice. Do you have areas of heavy bank erosion? Does the lake have considerable wind/wave action. Has anyone added Koi? Are there any common capr or bullhead catfish?