Your goals, as you've stated them here, are pretty vague. If they're in more detail somewhere else on the forum, that's good; but just in terms of this thread, which type of training frequency you choose depends entirely on your goals.
"Overall strength and endurance" does not tell us anything about where you want to be, and therefore makes it impossible to figure out which type of training you should do. It's like asking someone what type of transportation would be best for a trip to "Somewhere." Know what I mean?
Multiple pullups are great; but after you're able to do, I dunno, I think the number is like 15-20 or so, you don't really get much benefit out of doing many more. I mean, you'd have mad endurance if you could do like 100 pullups, but is that going to really help you have explosive climb-ups, or be able to get over a wall that has a weird angle? Or get over a wall while carrying an unconscious person you've rescued? Not really. It just means you will be able to pull yourself over the wall many many times under normal circumstances.
Also, wanting to "build" your chest, arms, and shoulders is another "non-goal." I can tell you a ton of ways to get those body parts bigger without really any benefit to you. But if you train for true strength, and support that with a good diet, the size will come on its own.
"Parkour oriented" is not a goal. It's a mood. Your parkour goals should be expressed in terms of specific, measurable skills. (In fact all your goals should be expressed in terms of specific and measurable terms).
Again, if your goals are expressed specifically and measurably elsewhere on the forums, I apologize for nit-picking them here. But I suspect if that were the case, you'd already at least have some idea of how often to exercise, and there would be no need for this thread.
So perhaps re-wording your goals thus would help us answer your question:
1. "Basically parkour oriented" becomes "Be able to kong a picnic table, wallrun and topout on a 12' wall, precision onto a rail from a 4' gap..." (and similar)
2. "Build my chest, arms, and shoulders" becomes "Be able to bench press (X), QM (Y) distance, do (Z) handstand pushups, do a muscle-up, do a weighted pullup with (X) lbs..." (and similar)
3. "Overall strength and endurance" becomes (see #2 for some examples of strength goals), also, "Be able to do (X) pistols, run 3 miles in (X) time, QM (Y) distance (or time), be able to move continuously through a parkour course for (Z) minutes..." (and similar).
Make sense?
Once you have articulated very specific goals, then that will determine what you do for exercise, and how often. For more information on this, check out Steve Low's article.
Good luck!
