I have always done a lot of shoulder pressing, yeah. When powerlfiting I used it as one of my indicator exercises, I found that if my military pressing was strong, so too was my flat bench (I bench with a narrow grip). I liked to keep vertical plane movements in to maintain some degree of shoulder mobility, and I think that one of the reasons why I have no problems with my shoulder mobility now that I have started weightlifting, is due to always including full ROM shoulder work and Lat work into my training.
I think by nature I am more of a delt presser, my shoulders and triceps are very thick comparative to everything else.
Here is how I currently work my pressing. At the moment I am focusing on accumulating some volume, within a week or 2 my reps will drop and I will look for more intense work:
Behind Neck Press: 5 x 5, same weight
Close Grip Press: 5 x 5, same weight
The work on Monday is purely volume only, I didn't intend to try and progress this too much, but found quickly that I was getting stronger weekly, so I upped the loads. The exercises on this day were to stay the same, with no rotation.
Push press: work up to a heavy set of 5, drop 5% weight, perform another set of 5, drop another 5%, perform another set of 5
Incline press: same rep scheme as above, typically I would get around 35 - 40 total reps per exercise.
The Thursday training I would rotate exercises when stagnation was to occur, however I stay true to the general theme: A push press (either front, back, or rack, etc) and some sort of other press too. The goal with this day is to get some sort of heavy weight around 85% or so, and then get a couple more sets in the 75 - 80% bracket.
Thats basically it. As a cycle I laid it out like this:
Week 1: All reps as planned, working off 5s, consider this a baseline week, working well within failure.
Week 2: Increase loads where possible
Week 3: Same as above, if possible
Week 4: Do not perform the back off sets on the Thursday as a form of recuperation and maintain the loads from the previous weeks
Week 5: Drop down to sets of 3, but maintain the heaviest loads from the sets of 5 if I need another recuperation week, perform the back off sets
Week 6: Increase from week 5
Week 7: Increase from week 6,
Week 8: Test
In a week I drop down to 3's so I will do 5 x 3 on Monday and work off 3's on the Thursday. Thats the general theme, things never really work as written though so I play it by ear a lot.
Hope that helps