Any sot of dynamic training doesnt really fit well into a body-part split bodybuilding routine. But if you use a powerlifter split where you have a bench day you could use explosive push-ups as your accessory lift.
If you still want to stick to having a body-part split, then make chest and triceps on the same day instead of chest and biceps. Then, after you do your main heavy exercise (probably bench press, incline bench press, or Dumbbell Bench Press) you could do the explosive push-ups.
Some people might argue that explosive work should be done first in the workout. In this case doing micro-cycles where you start your workout with explosive push-ups for 2 weeks then go back to heavy lifting for 2 weeks and keep switching.
In my opinion you probably don't need to be doing speed work unless it's holding back your already impressive bench press. If you're involved in a sport that demands faster arm speed there are probably sports specific drills you should be doing before you expend energy on explosive push-ups (speed punching bag).
Finally, push ups really aren't that taxing to your body. Find the point in your training schedule where your farthest away from the time you train your chest and do your explosive push-ups then. This is my favorite idea.