For good ribs, wings, burgers, etc. I would recommend Toot's. 860 NW Broad St Murfreesboro, TN 37129-2740. Phone: (615) 898-1301. As far as BBQ, most of the really good BBQ is in Nashville but I hear that the Slick Pig BBQ is pretty good - 1920 E Main St Murfreesboro, TN 37130-4012. Phone: (615) 890-3583.
As far as things to see, it sounds like you have about seen it all in Murfreesboro. I would recommend coming to Nashville to see a few things. It's only about 30-45 minutes west of Murfreesboro. You could check out the County Music Hall of Fame, Ryman, downtown attractions. Or make a run to Lynchburg and do a Jack Daniels distillery tour.