If you want to do a copy/past plug&play version, the best is to make a 'libs' folder in your game root directory which will contain the .so files you need, and then make a small launcher script that alter the PATH and launch the game.
Something like (to test) :
#!/bin/sh
LIBS_DIR=./libs
EXECUTABLE=./my_game_exe_here
LD_LIBRARY_PATH="$LIBS_DIR":"$LD_LIBRARY_PATH" "$EXECUTABLE"
Of course make that script executable (chmod +x launcher), zip and send !