Fulling Woes

I knitted a hat and ran it through the washing machine a couple of times to full it.  I think the shape is too short in the crown and too flared in the brim for a cloche shape.  My head is too large to fit women's hats so I need someone to try it on and tell me.

When you full knitted fabric, you can't undo and redo your work.  But the resulting fabric looks terrific.  Also, the knitting is very easy.  It is done with large needles in the round with knit stitches only, no purling, and the shape is simple.