Hi Lucy, English bulldogs are great dogs who unfortunatelly have too many problems. What do you need the bath for? I'm Dr Deb and can try to help.
Did you have any luck with the bath? If you could bathe him yourself, there are commercial shampoos with chlorhex in them.. You can buy them online- Amazon has many shampoos, as well as ebay. You should talk to yout vet or another ahout treatmrent options. There are veterinary dermatologists also; they may check thyroid levels and discuss food allergy as par0f the cause.
Skin cases can be be difficult to treat and may take a long time. Shampoos are a good place to start but her condition may have to be more involved