Here's a few other recommended outdoor beer-drinking locales:
Drury Beer Garden (1310 Drury St.) Look for it behind Greek-focused Opa (and tiny Drury's trash dumpsters). A funky, fun destination (last time I was there, they were racing turtles) with good cans and drafts.
Llama Tooth (1033 Spring Garden St.). Conveniently located on one of the city's crosstown thoroughfares, this muralized patio makes a fine spot to wait out afternoon traffic jams.
Silk City (435 Spring Garden St.) Just down the street from Llama Tooth, this brightly colored beer garden has the look of the Do Lung Bridge scene in "Apocalypse Now." Minus the acid trip, of course.