The Old New Orleans Rum Distillery is a fun tour. Even if you aren't a rum aficionado it is a worthwhile visit. The rum is most excellent, and seeing the artisanal processes by which it is made makes it even better. You can order rum shipped to most states, so it's not a worry if you're flying. I would most strongly recommend going during the week when the distillery runs transportation from French Market. On a Saturday our taxi had difficulty fining the distillery, which is not in a good neighborhood. It appears that it would be possible to get nearby on the bus, but I don't think that is a good idea.
If you own or manage Old New Orleans Rum Distillery, register now for free tools to enhance your listing, attract new reviews, and respond to reviewers.