I think delta is used more for venomous, and AAcargo doesn't take any venomous reptile/snake/animal.
http://aacargo.com/shipping/animals.jhtml#canine
Acceptance Exceptions
Aggressive Behavior or Unfit for Travel
American Airlines maintains the right to refuse acceptance of any animal that is exhibiting aggressive behavior or does not appear fit to travel.
Venomous Snakes and Lizards
Venomous snakes and lizards will not be accepted for transportation.
Birds
For exotic/wild bird shipments the shipper must provide, in writing and on letterhead, that the bird was born in captivity on special farms or the bird is being shipped to or from a zoological garden, sanctuary, preserve, rehabilitation center, medical agency or government wildlife agency. Shipments of exotic/wild birds must stay online within American Airlines system.
Check with U.S. Customs and the consulate of the destination country regarding regulations for birds or poultry being shipped outside of the United States.
Ferrets
Ferrets are not accepted to or from California or Puerto Rico, except for research purposes. A special permit is required.
Primates
For shipments of primates, the shipper must provide, in writing and on letterhead, that the animal was born in captivity on a special farm or the primate is being shipped to or from a zoological garden, sanctuary, preserve, rehabilitation center, medical agency or government wildlife agency. Shipments of primates must stay online within American Airlines system.