Start primarily training your push press exclusively at the start of each pressing day and putting the strict press as assistance only. I highly recommend rotating heavy singles, doubles, triples, and sets of 5 in, followed immediately by hard drop sets of AMRAP. A template would look like this.
Week 1:
Push Press
6x5@75%, after last set is finished, (no rest) strip off some of the weight and rep it out to complete failure. Strip it 3-4 times and the only rest you’re allowed is the taking off of the weights.
Week 2:
8x3@85%, repeat the aforementioned strip sets.
Week 3:
6x2@90%, repeat aforementioned strip sets.
Week 4:
6x1@93%, repeat aforementioned strip sets.
The percents can be modified obviously, I’m not a genius when it comes to discerning values that adhere to each individual; that’s for you to establish. However, this is how I frequently trained my overhead in GENERAL for many years and it definitely, DEFINITELY helped. Just remember though, no matter how many times you train through a program, the number one thing that will give you the big numbers you seek is effort and consistency. Every day just forget about the numbers you’re lifting and be a fucking savage. I’d always pretend to be some WSM competitor when I’d train years ago and just imagine me lifting like 50% more than I truly was, and it’d make lifting very fun lol. Hope that helps, anyway.