What do you mean by "weak"? Do you mean they're not strong or that they are problematic?
In the first case, a pure pressing program is better than S&S, in the second one, it would be advisable to see a professional before engaging in any of the two.
However, there is a hybrid of S&S and RoP that, I think, is based on two exercises: swings like in S&S, press ladders like in RoP.
@Steve Freides knows more on this subject than I do, and I don't think there's a valid report about this program, meaning it might work, it might not. From my very modest experience, it should yeld results in both movements and the benefits that come with them.
I tend to stick with semplicity though, and, if time is not a problem, I'll go again with
@natewhite39 and tell you to stick to a program at a time.
Soju and Tuba, from what I understand and I never tried it, has a relatively low volume and can be implemented in other programs, but doing heavy get ups and presses on the same session... Well, I'm not sure of this but it could actually worsen your shoulder's situation without improving much of anything.
What I'm doing right now is Rite of Passage like this: press ladders with rows (I'm implementing pull ups - very few 'cause I'm bad at them - when I move to the basement), heavy swings (low reps, waving number of sets and with "lots" of rest in between); varity days are for heavy get ups like in S&S plus LSD runs (replaced by swings until my ankle heals). I might (read
will) had Karate practice (thanks
@Kozushi, I realize just now that I never thanked you for the books you recommended) in the near future.
It's working for me right now (ankle injury is completely unconnected with kettlebell training).