I'm super jealous of your overhead press. It's one of the lifts I respect the most, yet I just can't get it to catch up.
Well, I'm jealous of your great deadlifting, so I guess we'll have to envy each other!
Honestly, I HATED overhead pressing for a long, long time. I think I probably did overhead pressing about once a month for my first 7-8 years of training, it was the absolute last lift I ever wanted to do. Spent my time doing machine work and lateral raises instead, which did ZERO to increase my overhead strength. Only once my interest in strongman got sparked did I realize that I'd need to really get over how much I hated it, and once that happened and I started hitting heavy power cleans to push presses every week (a nice way to make sure that those power cleans stay strong, too!) did things get any better. Went from a max of about 165 for a single to over 200 in just a few months, then for the next year the weight just kept going up more and more easily until I was an inch away from hitting 300, then my mind kept getting the best of me. Got stuck there, then the injuries piled on, and it's back to working my way up. Thankfully, it's one of the only lifts I don't seem to lose strength on even when I have to take a longer hiatus from training.
If you ever seem to get stuck in a rut with overheads, the magic keys for me were:
- Clean and push press for singles or doubles (clean once only regardless of rep count)
- Push presses in the power rack for sets of 5-8 max reps, always going 15-25% over my strict press max weight
- 1-arm heavy dumbbell clean and presses, allowing some side bend when necessary
- Standing partial presses in the rack, anywhere form bar starting just grazing the top of the head up through REALLY short ROM overhead lockouts that were just 1.5"-3" of movement (it feels pretty impressive just to have 400+ lbs. locked out, even if you barely moved it, and there's a unique strength carryover just from supporting that much weight!)
I credit those four things with being how I nealy doubled my overhead strength in just about 2 years, as light to moderate work of repping out with 10+ per set just didn't give me any bang for my buck.
Good stuff, give it a shot in your program some time and see how it works for you!