Honestly I always take it with a big grain of salt when a freak like Haack shares what program worked for him... I'm not John Haack and neither are you.
Maybe it's because I'm weak as shit, but I can bench four times a week without accumulating undue fatigue. I find that the chest can tolerate really ridiculous volume. I've noticed that when I actually fail a rep doing squats, I'm absolutely obliterated, whereas when I actually fail a rep on bench, it's no big deal, I can sometimes even hit another set. Maybe that's related to the whole training frequency thing, dunno.
Other posters mentioned targeting your weak points with bench variants, which I highly recommend. I also recommend proper powerlifting reps, with real tension in your legs, arched back, retracted and stable shoulder blades. Also try using wrist wraps if you don't already. This lets you move the most weight and that in turn should produce the greatest adaptation.
One other thing I should mention, if your lats are weak that can limit your bench, so do your pulldowns and rows.