Crossroads towns like this keep tradition close, and Flatonia still feels tied to old Czech and German foodways. That shows up in how people think about meat, smoke, and the right kind of lunch. It is the kind of place where a simple plate can hold your whole afternoon.
Casey Lee's Family Craft BBQ can be a good stop for brisket when you want a careful slice and a steady post oak profile. Joel's Bar-B-Q gives you another barbecue restaurant option if ribs are your first choice and you want a fuller plate.
If you have time, plan around lunch and ask what is freshest. Smoked sausage fits the region, and it is an easy add that travels well. Keep the order simple and let the meat carry the day.