If possible perform a chain suspended press rather than pin press.
More equipment & setup time but there's no change in your benching technique which is important (depending the level you're at).
If you're not benching more than 4 plates I dont think this is too big of a deal... so with prudent planning (ie, training the rotator cuff, rear delt, upper back and overhead pressing)
You can rotate pin presses in for a while without seriously harming your shoulders. Off topic but, I'm of the opinion that well rounded training IS
If you were to work into a westside type protocal I would use something like this disclaimer-I'm not a PL and I tend to stray from the normal westside type exercises but these really work for me...put take it with a grain of salt (slashes denote superset)::
Pin Presses (for single or double)
Dbbell Bench press 5x8
Chest supported Row/lat pulldown 5x6/10
Bradford Press 3x8
Ballistic Bench Press 8x3
--use smith machine, bring weight(around 50-60% of 1rm) down to chest, pause for 5-8seconds and then EXPLODE, catch, pause, repeat for assigned rep range.
Close Grip Incline Bench (work to 5rm)
1 arm dumbbell hang snatches (5x2)
Weighted Pullups/ Weighted Dips (3x8)
-do muscle ups if possible... can be done on a bar as well. Check crossfit.
Hope that helps some.