I've eaten at Pastime and Fleur De Lis a good bit... I just don't know about steering an out of towner to either. I do like Gino's... because I love their marinara sauce and their great atmosphere for me and my lady. I've never been to Byronz or Couyon's. I will have to try them out.
Baton Rouge has such a huge selection of eateries... when people are looking for recommendations... they have to be specific in what they want. If you come to south Louisiana and you are looking for something unique to south Louisiana... 1 in 30 places in Lafayette is unique and 1 in 300 in Baton Rouge are unique, nowadays.