adding upper body work to olympic lifting

[Jisoku]

I am primarily a highland games competitor. I built up a decent level of strength with a 5x5/powerlifting programming, but through 2016 lifting became irregular, only going in 1-2 times a month. I got back on track in 2017 and recently decided to switch my training over to a more olympic lifting focus, which may translate better to my sport than maximal strength. I recently signed up at a Crossfit gym, but I'm not doing the full Crossfit course with WODs, gymnastics, etc. The programming/routine is something alone these lines:

Monday
5-8x1 Jerk Variation
5-8x1 Snatch Variation
5x5 Back Squat
5x5 Overhead/Bench (80% of previous 1x5RM)
~25 Reps Any press variation

Wednesday
5-8x1 Jerk Variation
5-8x1 Snatch Variation
2x5 Back Squat (80% of Monday)
2x5 Overhead/Bench (80% of previous 5x5RM)
3xF BW Dips
3xF BW Pullups

Friday
5-8x1 Jerk Variation
5-8x1 Snatch Variation
1x5 Back Squat (set a new 1x5RM)
1x5 Overhead/Bench (set a new 1x5RM)
2x5 Deadlift (60% of 1x5RM + 10lb weekly)

There are also optional sessions on Tuesday and Saturday, which are exclusively olympic lifting focused and lighter in weight than the other days. The olympic lifts across the board are more about technique than weight at this point, and I'm used to much more volume and intensity on the big three lifts and their variations. The previous 1RMs on squat and deadlift were over 500, bench fluctuated more but was around 300. I rarely checked 1RMs, focused on 5s, 3s, max rep sets and high volume accessories. These numbers are more than adequate for my sport, so olympic lifting may allow me to harness that strength base more proficiently to transfer into moving implements across a field.

So, basically I'm wanting to add in some volume for arms/pressing and back. I am not getting the volume I want through Crossfit and am left with plenty left in the tank. That's fine, because those sessions are more about learning the techniques and progression on the snatch and clean variations. I'm paying them to teach me those, and the squatting and benching they are programming are fine for my weekly heavy sessions as a bonus. I have another nearby gym to do some things on my own time. I want to get bigger and build up some of the back I had before, but what Crossfit is programming isn't going to do the trick. I do not want to interfere too much with recovery before the Monday and Friday sessions, although doing back on those days or the days before should be fine. Wednesday is very light on pressing, and I don't need to be fully recovered then. I'm thinking of either doing a Push/Pull style routine in addition, leaving out leg work since that's handle with Crossfit. Or, doing a 3x weekly workout that is Push/Pull supersets. It depends on what works in scheduling and recovery. If I feel worn down at the Crossfit sessions especially as the olympic lifts get heavier, then I'll simply cut back on additional volume and sessions.

What would be the best method of getting in more upper body volume with the programming? I am concentrating on back, arms, and pressing for volume. I'm not pushing for more strength with additional sessions, so recovery probably won't be too rough. Do you think I'm wanting too much and going to die? I feel like there's so much more left in me doing olympic lifting. The old way I trained was roughly 5x5/3 on the big movement, 2 similar accessories for higher 8-10 reps, like front squats to assist back squats, and then 2-3 additional accessories that are sometimes lighter or isolation, like tricep work, lat pulldowns, etc, for 12-16 reps. I lifted four times a week, so it was much more volume than I'm currently doing.