There is coffee in the conference hotel as well as Starbucks and Crimson Cup (a local chain) in the convention center.
Listed in order of distance to the Hyatt Regency
Stauf’s (in the North Market – not open until 9 am) (0.3 miles)
Brioso (High Street) (0.5 miles)
One Line (Short North) (0.6 miles)
One Line (Capitol Square) (0.6 miles)
Parable (good pastries; serves cocktails in the afternoon/evening) (0.7 miles)
Brioso (Long Street) (0.7 miles)
Roaming Goat Coffee (0.8 miles)
The Roosevelt Coffeehouse (Long Street) (0.8 miles)