Aaron, what's the RPE of your OHP? 3x3 or is that a typo? You wrote 5x5 in the first post. This may not matter if you de-prioritize the OHP as I'll recommend below.
The first thing I'll say is: you should probably have realistic expectations. Although people on this forum talk about how much bench sucks on this program or that program, the reality is that it's not just programming, bench sucks IN GENERAL, for most people. You can only increase it so fast. I fully believe you'll achieve your goal, but it's a long(ish) journey.
Now that that's out of the way, I really like (love?!?) Jordan's program arrangement for upper body. You've seen the tweaks that I've made to it and mainly did that to simplify the program and have sets across (as opposed to RPE based drop-sets). In order to implement the program (or your own derivative), I'd recommend the following changes:
1. Reduce your rest intervals; you've mentioned 5-minute rest intervals, force yourself to take ~1-minute intervals. This will ensure you're using slightly lower weights (even if you are pushing yourself @ RPE 9+) and will give you time for additional volume. Unlike squats/DL, you really shouldn't be that winded/broken down here.
2. Thurs should be a bench day; 2-full-seconds Pause Bench (6 sets of 4 reps @ 70-75%) - the long pause will ensure you're using lighter weights
3. OHP should be an accessory added on Tuesday. 5-6 sets in the 7-9 rep range
These changes should ensure you're working with slightly lower weighs and get a bunch of additional volume. Consider competition/paused/tempo or other bench varieties to maintain lower intensity.
Hope that helps.