Brake pedal is really stiff

.....Yet when I bleed them the pedal will drop to the floor once I open the bleeder. It just makes no sense.
Chances are that you toasted the new Master by Letting the pedal go all the way to the floor. Always put a block of wood under the brake pedal stopping it at the most 1/2 way when bleeding. I would bet your problem is the proportioning valve but may as well get a new master again too and hoses. If the adjusters are not adjusted way far out then the Drums aren't too far gone. With new shoes, there should only be about 1/4 of threads showing on the adjusters. If you're seeing like an inch or more of threads then that indicates drums are reaching the end of serviceability.
How were the brakes before before all of the new parts were put on?