My "normal" bream jig is 1/64 oz (usually a trout magnet or marabou.) I cast them with 2-4# line and have no problems throwing them 30-40'.
I almost never use them with a float. I prefer to cast and swim them back slowly.
Of our regular posters, Alphahawk, LedHed, slabsrus, and illinoisgiller all use similar methods. I'm sure they will chime in.