I highly recommend this book: Month to Month Gardening in Louisiana
Written by Dan Gill
It covers vegetable gardens, but also covers lawn/trees/shrubs/etc. There's a newer revised edition that is basically the same contents.
The LSU ag center page helps a lot as well. We grow tons of peppers, a few tomatoes (I don't eat them raw but wife loves them), and yardlong beans. With peppers, I have better yields with non-bell pepper types. Corno di Toro peppers are my bread and butter sweet pepper. I know other folks who grow and have great luck with blocky bells. Could be my particular microclimate or soil..who knows. Trial and error. Plant a good variety and keep notes because you won't remember next year. Dates, varieties, how well they produce...just jot it down. You'll be grateful you did next year.
Another tip, trust that book and the LSU Ag site. Our summers are brutally hot with little cool in the evenings. Big box stores will try to sell you all manner of plants we cannot grow in our summers. The good news is, we can grow almost everything in this state. It just has to be planted at the right time. That time is somewhat out of whack with much of the country.