Continuing on this....I found a full bottle of this product in the garbage once at a DSHS office. It's for washing people who are bedridden and unable to be hoisted to a bath everyday.
https://www.amazon.com/Dermarite-PeriFresh-Rinse-Free-Perineal-Cleanser/dp/B004GEXHHY
They're less than a dollar each. They can last 2 weeks to a month for one person to wash every day and not smell at all. I still use it as the accommodations I currently have keep me out of the weather but I don't have a shower or bath. It also got me back into washing every day because of it's convenience.
Edit: They're pricier now probably because of supply chain and seasonal issues. But for a while they were like 89cents each ordered from Walmart. They're still cheap tho.