Generally speaking, 1/8 - 1/4 oz for pitching; 1/4 - 3/8 for vertical jigging on the Missouri river for me. sometimes that 5/16 ounce gopher jig gets pulled out to fine tune things vertically.
Weight really depends on wind and depth. Heavier jigs when the wind kicks up and heavier jigs when the depth increases and when both happen i'll work up to that 3/8 ouncer usually. I've always been a river rat so i don't fish much depth.
hell, i'm gonna rename them frikken gopher jigs right here and now. They are officially my Sioux jigs now!!