If you have good ID and OD, you could go with a man-to-man defense to defend push the ball. Push the ball is a normal focus with increase speed, so this defense will be normal focus also on inside and outside.
When I play against a team that i think will use full court press, I will try to speed up the game to give less time for turnovers, so use push the ball, RnG, or Look Inside.
Of course a lot depends on your personnel, and these are just my opinions.