In some ways, think of this as designing a logo for a casual, approachable restaurant. That's the feel I want for the brand and website, to appeal to the same crowd. There is an educational component to the site, so there may be an opportunity to communicate that too, if you see fit.
Some logos I like, for example:
For graphical elements, consider the core elements of beer: barley, water, hops, and yeast. I'd like to stay away from the predictable glass or mug of beer.
Another consideration: sometimes when you're brewing beer, you feel like a mad scientist, with hydrometers, flasks, tubing, buckets, etc. There could be something fun in there, but keep any imagery/illustrations subtle.