Unfortunately the only thing I can see that would help would be to cut down a bunch of trees, dig a deep silt catching pond that allows the velocity of water to slow down so the silt drops out of the water. Once there is some dwell time for the water in the silt pond to catch the silt, the water would then go to the main pond. You'd have to have access for heavy equipment to that smaller pond, and clean it out every year during the dry period.