Recommend a hat

I am seeking a good hat pattern that I can adapt to match my Sea Fever scarf. To knit in aran weight and (hopefully, though it seems unrealistic) from 1 skein of approx 135 yards. All I want is a good shape that fits the yardage, and a simple pattern that will allow me to fit a band or some panels of the 2 row pattern from the scarf into it… somewhere. Free is good, but will pay small amount for a download pattern.

Manos stats:
16-18 st = 4″
US size 8-10 needles
Yardage 135 yards per 100gms skein

Ob: will get 2 skeins if I have to, but really want to squeeze a hat out of one, if I can.

Can you  recommend one, please? In the comments, below, if you can.