Your Waterwheel Solution
The Breast Wheel
When the head, or fall of water was not sufficient for a large diameter overshot wheel, the breast wheel often was used. This is halfway between the overshot and undershot t wheels. Water strikes the buckets of the breast wheel about midway between top and bottom, using the weight of the water for a 90 degree segment of arc. While more efficient than the undershot, their efficiency is far less than the overshot, which uses the weight of the water for a full 180 degrees.