Just treat it as grey. It's about as easy to color match as anything that'll ever find its way into your closet.
Pretty much year 'round wear.
I'd wear it with black shoes, but I won't tell you that some other color would necessary look awful. Me, maybe I'm a dinosaur, but while I've accepted over the years that not all dress shoes must be black, the fact is that very often, black remains a good color for dress shoes. With a black-and-white suit (again, essentially a grey suit), there's absolutely nothing wrong with black shoes.
You want some contrast, when wearing that suit with a white shirt? Some "pop?" Wear it with a solid purple necktie. A rich, dark purple. The classic choice of a burgundy tie would be fine, though.