Program wise it sounds like you need to drop 10% and reset either way, so why not just shift to HLM when you do. Your bench and press still need a lot of work which means you probably need to grow your upper girdle, which means a lot of upper body sessions and avoiding a big drastic calorie cut. Guarantee if you drop to ~2000 calories right now or shed ten pounds rapidly your press would be like 105. You want a big plate press, right? If you stay around 2400 calories and do 3-4 days of bench/press sessions a week a la HLM your press might/should still go slowly up while still losing a pound a week.
Me, I'm doing this Hanleyesque/Chebassesque program:
Monday: Bench x5, then 90-95% two sets. Romanian deadlifts x 8 x 3
Tuesday: Squat x5 then 90-95% two sets. Press AMRAP in 10 min.
Wednesday: GPP-ish type stuff, Andy Baker's deadmill pushes, pullups/curls/dips/etc, with half an eye to Jordan's GPP protocol here
Thursday: Monday's bench but add 5 lbs, then deadlift x5, then backoff sets
Friday: Tuesday's squat but add 5 lbs, then press AMRAP 10 min
Saturday: like Wednesday
I think I'm responding nicely to four pressing sessions a week, for what it's worth. Hit a bench PR. Everything else is still sucky numbers but that's my fault.