Raspberry Pi Zero - Male pad or connector for underside contact pads?
As long as you are screwing the boards together somewhere else, you could use a Stacker.  These only require to be soldered to one of the two circuit boards, with a solder pad/circuit on the other circuit board.  

Another good solution is to use a board to board connector for a high circuit count transfer.  This is a better solution for a manufactured board, as they come in varying stacking heights, pitches and pin counts.