Washington never used cutouts for State markers...you always had ol' George looking off to the side from his black box...
Some states always used squares or rectangles for their markers (The New England States, Indiana, Illinois, Montana come to my mind immediately).
7 states in the early days used state shapes inside squares or rectangles (Alabama, Idaho, Indiana, Illinois, Louisiana, Nevada, and South Carolina)
The only states that used State-shaped cutouts for route markers were Ohio, Missouri Georgia, Arizona, and Arkansas....other States used state shields or symbols