The fact that Logan Circle’s craft beer spots used to be part of the Dupont Circle guide speaks to the growth that has taken place in the neighborhood in the past couple of years. Concentrated mainly on 14th Street, there are a bunch of craft beer venues for your drinking and eating pleasure. Thinking that ChurchKey is the only game in this area would be an egregious oversight on your part as more and more venues are in the works for this area due east of Dupont Circle.
Once you're done exploring the venues around Logan Circle, take a short walk up 14th Street and check out the venues at the intersections with R, S, and T until you hit U Street. In this area, you'll find live music venues, including great jazz spots, as well as some quality options for craft beer. Take in a show, take down some pints, and stop by Ben's Chili Bowl for one of their (in)famous half-smokes.
Use this map: