Ummm...it's a never-ending source of frustration when beginners or semi-beginners are pushed toward, or tacitly encouraged to do, complex periodized programs (relatively) but they don't really even know the basic terminology. That is no an attack on you, altus, it seems to be a trend. It really shouldn't work that way.
Intensity is the percentage of your 1RM (one rep max). Volume is basically the amount you are doing...the numver of reps times sets. To raise the intensity you have to lift CLOSER to you absolute ability...the amount you can lift for only one rep. To LOWER the volume you would do LESS reps and sets. Higher intensity means less volume. More volume means lower intensity.
Now after I said my advise would be to lower the volume and increase the intensity on the main lifts you hit me with a plan that would RAISE the volume and LOWER the intensity
Some of these are more advanced things I'm talking about. But then we have people who are doing a so-called advanced program but when I talk about volume and intensity they don't get it. That makes it difficult to give advice.
If you know just the basic principles of resistance training...some of which I just stated..you don't even need a program at first. Yet people do PROGRAMS without having any knowledge of the basic principles. This is crasazy.
Since your shoulders are not healthy that really should be the determiner of what you do on bench. Also, what you have been doing is about volume across the board. All the volume affects everything. You can't just think of everything in isolation.
But if you want to increase your strength on bench then you have to push the neurological efficiency. Going to higher reps and raising the volume is hardly a recipe for strength...that doesn't mean than higher reps don't contribute to your strength training just that they are secondary.
Based on what you've said here you don't even need to go to very low reps yet. If you look at the program you were doing the idea is that you are not recovering completely from the workload week in and week out. You are supposed to be overreaching from a fatigue standpoint after at most, what 6 weeks? Yet you say you kept going and going without plateauing? Which means you WERE recovering more than "planned" which means you really didn't need the program and were pushing all that extra volume for, in my mind, no real reason. You TRADED volume for intensity. You could have lifted heavier and hit the same point in absolute strength in the same time frame if not sooner.
And you probably could have done it with better overall quality since your weren't engaged in some much rep counting. Which means you form wouldn't have been sacrifised to fatigue and maybe you wouldn't be nursing your shoulder.
Since you've been doing all that volume, but with absolutely no attempt to distribute the stress, just simply decreasing the volume for the max lifts and distributing the stress differently thoughout each week should work wonders. You stop carrying around so much extra recovery debt that way and you basically are pushing more weight. You could mess around with 4 or 3 reps and it doesn't even have to be so close to max ability. Just an increase in intensity to get you used to more near maximal work to come.
You could do bench even for 5x5, or 6 to 8x3, for your max bench and then do a secondary bench in the 8 to 10 or even 10 to 12 range (say three sets maximum) and then if you are doing an overhead press that could be in the 6 to 8 rep range depending on what press...you could end up with damn near the same amount of reppage in pressing but the stress would be distributed in a much more favorable way. Or of course, you could do less volume than that (or periodize the volume throughout each week).
Or for your secondary "volume" lifts you could use single, double, and sometimes triple progression. For someone in your position that is a good and sort of natural way to periodize the volume and intensity. You keep you maximal lifts to a plan though.
How you set up depends on whether your want to do 3 days a week or 4 days.