I would focus on range of motion. I find when trying to smash out max push ups, chin ups, dips, form can often get sloppy.

I can do 50 “push ups” straight, but when I actually slow down, get right through the range of motion (chin, chest and sack to floor) - I find I can do way less. Same with chin ups and dips. Try doing 15 straight wide grip chin ups with full release to hang at bottom and full squeeze at top with core straight and stable the whole way... it is tough.

You could always go weighted dips, chins and push ups if you are already that much of a beast!