I think (hope!) that the WW corresponds with the men's W, which is a good fit for me and at one time I bought a pair of lace up oxfords - black Granny shoes - in 4E. My feet spread out to 4 and a half inches wide once I put my full weight on them.
I'm afraid that it's a case of buying what you hope will fit and return, return, return. Once you find a style that fits buy three pair. Anymore if I go into Kohl's and they have the Wide Width sign up I go snatch up a pair of men's running shoes so I won't miss out. For years I wore bunion pads and corn pads and moleskin and wads of TP with first aid tape even with men's shoes.