Just have them shipped from Chicago. I mean, you're not going to get a real deep dish pizza here. We've had them shipped down before and they didn't taste that much different from having them fresh in the restaurant. I personally enjoy the pussy pizza at Portofino's. They're from Naples, Italy...you know, the birthplace of pizza.
Coop's for the fried chicken and the gumbo. Mother's for the debris sandwich. Commander's Palace for a nice meal, and a self guided walking tour of a pretty cool above ground cemetery across the street. You can also walk the Garden District nearby. Pat O's for a Hurricane. Best live music/bars are on Frenchman Street. If you have time check out the National WW2 Museum.