Disc golf has absolutely exploded in popularity, so most major cities now have decent courses within a short drive. The sport's way cheaper to get into than regular golf, and once you buy a disc or two, you're basically set - most courses are free or cost just a few bucks.
Chicago and Atlanta are both solid. Chicago's got courses like Busse Woods and Edgebrook like someone mentioned, but there are also spots further out in the suburbs worth checking. Atlanta's similar - you'll find courses scattered throughout the metro and into the surrounding areas. If you're in either city, you're in a good spot. Even places that seemed pretty limited five years ago now have at least one or two courses popping up, especially as more parks departments have started adding disc golf to their recreational offerings.
The best move is to hit up the DGCR website or app and search your area - you'll get the real scoop on what's actually close to you, what the course layout is like, and whether people are recommending them. Most courses let you play free or throw in a small voluntary donation. Start with whatever's nearest and see if you vibe with it before hunting around for your next favorite spot.