soooooo I can tell you what I TRY to do, and what I've actually been doing recently.
My goal is 4 days in the gym per week. I used to structure my week around a OHP day, a bench day, a squat day, and a deadlift day. However, since I started training for strongman, I've turned deadlift day into strongman event day, on which I run through 3-4 strongman events. This works well for me right now, because I've always felt like I don't make great progress on my deadlift if I do it every week. Every other week works better for me. So I'll work it into my strongman session about every other week. As far as rest goes, I ALWAYS take the day off from the gym the day after strongman, and I would do the same with a regular deadlift session.
In reality, I've skipped a lot of OHP days recently. I've mostly been hitting the gym 3 days a week rather than 4, and since I do ohp with implements every strongman day, it's not a huge deal to skip my barbell overhead work.
I don't do anything on my rest days, but that's mostly because I don't have time. I like the idea of a little active recovery, but having a 2 year old at home half the time really cuts into my ability to do that. The only dietary difference on rest days is no pre/post workout nutrition. I consume plazma for workouts, and i'm not doing that on rest days. I believe more in hitting kind of an overall macro goal over the course of a week rather than getting into too much minutia from day to day. It MIGHT be somewhat beneficial for higher level athletes to adjust their diet for rest and lifting days, but I'm nowhere near that kind of level.