If you want to stay at the airport, in the recent past, there was a bar/restaurant outside of security that served a limited menu from Arthur Bryant's. I cannot recall what terminal this bar/restaurant was in or what it's name is/was, so if it still operates, it may require you to ride a bus between terminals. Maybe this is the place that RSVP references in his/her comments. I'm sure someone will give you a definitive answer on this.

I don't think I would chance leaving the airport if you only have 1:45 between connections. If you do decide to do this, there is a shopping area with restaurants that is south on I-29 called Zona Rosa. It has a Smokehouse Barbeque, but I'm not familiar with their offerings.