Help! Felted mistake!

Voila! I made an alpaca hat that was a little too big for DH, so I tried gently washing and carefully drying it. Nada. So then I decided to felt it and stretch it back into shape. Bad idea. All the stretchin' in the world won't make this more than an outsized yarmulke. And he is not into that. So I need help! Can I knit a ribbed brim and then attach it? But how?