Since this got bumped back up--as an update, by late March last year we moved to work-from-home, which neatly solved the soap issue for me altogether (since I *only* buy soap of brands that I know won't eat my skin, and one of my safe brands (method) makes a full line of cleaning products including dish soap for those things that I need to handwash vs putting in the dishwasher).
I have seen some of those TSA-approved new containers (for filling with whatever products one might want without having to dispose of product one doesn't want) at the store, so getting one of those for my soap and carrying in a pocket would be an option if they make us return to the office. Personally, I am enjoying working from home and hope I never have to go back to the office for many reasons beyond the soap.