If you have an oblong face shape then try a hat that has a shallow crown, a shallow domed crown would be ideal as these hug your head which is what you want as you don’t want to add any extra height. A down turned brim would also be best as again this avoids drawing the eye up. An asymmtric down turned brim would be very flattering as this would cause a lovely line across the face.
Oh…
Xoxo