Sage

Push ups only isolate a few muscles in the upper body. If you're looking to do all the things you said you're looking to do, then you need to get ALL your muscles involved. There's plenty of at home exercises you can do without weights (and a plethora of sites on the internet talking about them) but if you want to gain muscle mass at all, you're going to need to add resistance to the equation through homemade weights, resistance bands, weights, etc.

Also, pushing yourself to collapse isn't the healthiest way to go about building muscle. You should rest (1-2 min) between each set at the least, and throw some before and after stretching in there. How many reps do you do each set?

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