Why people saying you can't progressively overload with push-ups?? Just over this last month, I went from doing pure bodyweight push ups, then threw a 30Ibs ruck on my back, started doing PUs with that, then went up to 40Ibs ruck this past week. Plan on moving up to 50 in the next week or so.
It takes more work for sure, but it's doable. Just get a vest or ruck/backpack and up the weight as the previous set/weight combo becomes easier. If you got a park near you, anything like a tennis court or bball court with a gate, what I do is 10x pushups every poll along the gate. So the length of my park gate is ten poles w maybe 5ft of space in between. I knock out ten, walk to the next Pole, knock out ten, etc. Till I get to the other end. No breaks. The walk in between is where you catch the breath. Then I turn around and do it the other way. I will do that w my max ruck weight, then do drop sets. So going back and forth again, but drop 10Ibs, etc. Next week, increase your max weight.
If you don't have a park with a gate, parking lot markers work too. I get up early in the morning, so no parked cars. Just count ten markers, do the same thing.