Inspired by http://www.toastale.com/toast-ale-recipe/
my idea is instead of using bread to use matzah as the source of fermentable sugars.
The ingredients for modern beer "usually" are malt, water, yeast, and hops
Now assuming I replaced the malt with a chometz free product such as matzah and the yeast was certified kosher for Passover or used spontaneous inoculation. Would the hops be kosher for Passover without kosher certification?