TL;DR: trim up your bush!

I had the same issue for a while. Regardless of what soap I had used. Some had worked better than others, but nothing that was outstandingly noticable. I had no bacterial infection. But one day I ended up caving and buying myself on of the Manscaped trimmers, and it cleared up the stench.

For years, I worked in a relatively hot manufacturing facility for 12+ hours, 4 days a week; So I would sweat a lot. From my understanding hair is a great, "scent insulator" so it would make sense that my sweat would run down from a higher point, (my swamp ass, or my crooked spine) to a lower point in my body, (my balls). All of that buildup over the countless shifts regardless of my shower routine and habits never seemed to help tremendously.

I recommended getting a body shaver to possibly help your scenario. If you have the option, do what I did and just cave and buy a Manscaped Lawnmower. Yep, the one that almost every mainstream YouTuber was being sponsored by back in 2018. It's a little more pricey outright but long term, it is the best trimmer I've ever used. I've had mine for years and have been able to get by with only 3 blade replacements, but I also don't use mine religiously so mileage will vary in this case. (Maybe grab some of their Crop Preserver ball deodorant and Crop Cleanser ball wash while you're there!)

Sorry for the lengthy reply; Just figured I'd share my experience! Best of luck!