The Louis Armstrong New Orleans International Airport doesn't have any places to park a bicycle. It only has one sidewalk that only goes partially toward the entrance. Crossing three lanes of traffic to get to an overpass without a sidewalk is really treacherous.
The Helena Montana airport is easy to reach with a bicycle because there is so little traffic headed to it. Even so I don't now where a bicycle could park. I've never seen any racks. Every time I go there I lock my bicycle to a chain link fence post near the car parking lot.