My only personal experience with air cargo for dogs was my first boy. He came to me from Washington State, and he travelled just fine. Taped to his crate was a big notice stipulating that nobody should open the crate until a Basenji savvy person was available when he arrived! I picked him up in Buffalo, N.Y. and drove him home no worse for wear. He was two years old, and that was his first (and last) experience with air travel.
A breeder friend (not Basenjis) of mine ships puppies fairly often. So far no unhappy incidents of any kind. All have arrived safe and sound, with no apparent psychological effects. You do want a direct flight, and yes, there are restrictions in hot weather. Probably the ideal is to bring them on the same plane you are on, but failing that to make sure someone is at the airport to meet their flight.
Driving might be a better option, but there are hazards in doing that as well, plus a much longer time frame…..