Others may have different ideas, but for me where you have the friction pads with the strong spring type adjuster, you often find pattern brake shoes give a poor foot and handbrake as they can't compete with the brake return springs.
With the handbrake adjustment backed off and the shoes all correctly fitted I use a screwdriver to ease the shoes out slightly so that I can just get the brake drum on, tighten the securing bolt and then give the drum a tap with a copper mallet this allows the shoes to square up in the drum, but still takes up most of the slack, then I operate the hand and foot brake a few times and if the foot brake is acceptable I manually adjust the handbrake cable to feel right then check that the brake drums will spin easily. Finally I roadtest and check again to make sure spinning and not dragging.
If you can only obtain cheap pattern brake shoes with those weak adjusters then a possible fix is to weaken the tension on the return spring near the wheel cylinder slightly. This is a last resort to get a decent pedal and handbrake and not the recommended option.