Sugarfire, Bogart's and Pappy's are the 3 best in the city. Bogarts and Pappy's are downtown and will be a long run for you from Lindenwood.
Luckily Sugarfire has a location close to Lindenwood:
3150 Elm Point Industrial Dr.
St. Charles, MO 63301
Now I have also heard that Hendricks BBQ is good, but I have never been there. If you are looking for a second choice after Sugarfire you could try here:
1200 S Main St, St Charles, MO 63301
Also a lot of other great places to eat on Main St in St. Charles. Great microbrewery called Trailhead.
PM me if you need more recommendations!