Hmm, actually I had the pretty much same program as yours when I was 18, 19, because going to the gym was a bit inconvenient for me, I had adjustable dumbbells though.

And in all honesty, I'll say that...... it'll only keep you occupied for a month... or two at most.... In MY case..... I grew just a tiny winy bit before "growing out" of my workload.... barely noticable.... and soon you'll be able to do more reps/sets without getting tired, and the only OTHER way to increase your workload without going to the gym is by changing your workout methods.

Though if you're aiming big, I suggest going to the gym.