Working out 3 days a week is almost like magic. Training on Monday, Wednesday and Friday is such a simple and balanced approach for both optimal exercise and recovery, plus it doesn't impede too much on your lifestyle.

Try these workout examples to experience what I mean:

Full Body 3 sets of as many reps as possible:
Monday: Pushups, leg raises, lunges, hip bridges rows
Wednesday: Dips, goblet squats, plank, Hamstring curls, Pullup
Friday:Jump squats, frog stands, leg raises, single arm rows

ABA BAB split
Workout A: Pushups, dips, handstands, lunges, squats, bridges
Workout B: Pullups leg raises, muscle ups, rows

More calisthenics Programming tips in my book, Smart Bodyweight Training:
https://goo.gl/pnJd2b