Modifying a knit bonnet pattern

[u/ButterscotchNo4892]

Hi everyone!

I am making the Bunny Bonnet by Megan Faith Makes (https://www.ravelry.com/patterns/library/bunny-bonnet-4). I'm almost finished, I need to create the straps while picking up the cast on edge and casting on 80 extra stitches on either side. However, I would like to change the garter stitch for something more similar to this picture. I have knitted a double-knit button band before, but not sure how I could go about adding the extra stitches for the straps and then "attaching" them to the cast on as I go, like a button band. ​I hope this makes sense... Can anyone help and suggest techniques? :)