The Ground Effects Stormtrooper cycling jackets we have are equipped with hoods which are promoted as being designed specifically for riders in that they don't restrict sideways glances -- and that design works. Combined with waterproof trousers, I would feel comfortable walking about in most types of wet weather (and have).
I can understand the desire to have shade in the sun, but a broadrimmed, foldable hat like I use at in my employment works just as well. The hat, styled along similar lines to the traditional Australian bush hat, is made of a material similar to oiled duck (which is known here in Australia as japara), and folds into a small bundle that is easily stowed in a pannier.
Otherwise, I just don a cap and sunscreen.