I don’t really know of any drills but it is important to have a serious approach to getting your timing down while in the batter’s box.
Your swing shouldn’t change with faster or slower pitching but what should change is when you start and when your front foot gets down. Obviously, you start the trigger/loading process earlier with faster pitching.
Lastly, make sure that you work on consistently hitting the ball out front. This can be achieved through soft/front toss or tee work. Make sure that your not setting your tee up too deep.