I can't speak to the .357, but Hodgdon's Lil Gun powder has developed a reputation for getting maximum velocities with considerably lower pressures in the .22 Hornet cartridge.
If you are wanting max velocities from your .357, you will USUALLY get there using the slower burning powders, starting with 4227, 2400.. The three that I usually consider ALMOST the same are WW296, H110, and AA#9.
They are all very close in performance for amount used. Lil Gun is in that same ballpark, but usually creates lower pressures.
Most of the slower burning ball powders respond best to magnum primers and heavy roll crimps.
They also give GREAT fireballs
especially in low light conditions.
If you want "standard" type loads, more moderate in velocity and blast, go with the faster powders like Unique, the "Dot" powders and such. Unique is probably best for good velocity and economy (cost per shot).