Dunno, I rather like the wind when it's at my back. Layering clothing against the wind isn't very effective, you need a windproof layer. If you don't have a windbreaker jacket and/or pants, rain gear works as well (I assume that, living in New Orleans, you have rain gear). Doesn't have to be cycling specific, just pick up the cheap stuff from Walmart if you're on a budget, it'll be better than nothing.

Two Decembers ago, Anchorage got hit by a massive wind storm. Hurricane force up on the Hillside, steady 30-40 mph along the coast with crazy 60 mph gusts. This came at the end of a weeklong freakishly warm spell, with midday temps hitting 50F and steady rain that froze solid every night. The streets looked like someone had run a Zamboni over them. I rode to work through the December "Hurricane", and even with 300 studs per tire, cross winds were pushing me straight sideways half a foot at a time. One of my co-workers rode his studless trike, and reported being blow from one side of the street to the other, and clear through one intersection. Good times.