Doing pushups and burpees in a kickboxing class sounds really tough. If I have not done burpees for a while they give me DOMs in many places including my traps. Neither pushups nor pullups have ever managed that.

A few years ago I gave up most weightlifting and now do mostly bodyweight stuff. The only lifts I still do are trapbar deadlifts and shoulder presses. I've lost size in my chest but all my other muscles seem just as big.