The concern about flying is certainly valid, while a five or so hour flight is much less travel time, the noise and vibration of the aircraft could be quite scary unless you had time to desensitise the pets to the noise via use of playing back sounds and vibrations during car rides or something. But that is a long process and I don’t know if you have time for that.
Apart from flying, you have the option of saving up for a road trip as suggested by Mikey, or having a friend or family member travel over with her. The other option is a pet courier service, many pet transport services are air based but there are also quite a few land based ones. I expect the cost would be quite high, however there is potential to combine all of your pets to this method which may save money as a whole if a pet courier charges by distance and you can just fill their van with all of your pets, as opposed to buying individual tickets for the other pets on the flight. I’m really not sure how much it costs though, it may end up being almost as much if not more than simply making the trip yourself, which is where potentially the saving of having all your pets travel together that way would come into play. You would have to get some quotes.