I'm not sure what kind of "Men" they have in Chatanooga, but there are multiple ways of moving large Aircraft. For instance for a 747;
Master Bird Pullers -
https://www.news24.com/xArchive/Arch...nises-20010108 Taiwanese men to pull plane with their penises
2001-01-08 11:58 Taipei - Twenty Taiwan men will fly to the United States in March to set a world record for pulling a Boeing B747 passenger jet with their penises, the organiser of the planned event said on Monday.
"We have received invitation from the Guinness Book of World Records museum in the US to perform in Los Angeles," said Tu Chin-sheng, who teaches "penis-hanging art", a Chinese martial arts style. "We will send about 20 men, their age ranging from 25 to 77, to pull the 400-seat B747. We hope to set a world record," he said. Last October 29, three of Tu's students pulled a truck loaded with 100 men for three metres in a central Taipei square.
Tu, 46, has been teaching Chiu Chiu Shen Gong (Nine Nine Magic Art) in Taipei for 20 years. He claims that hanging iron blocks weighing up to 300 kilograms to one's penis or testicles can enhance one's virility and general health.
Some doctors call the training dangerous, saying that hanging weights to the penis or testicles and swaying the weights can break the penis. - Sapa-DPA
Or, if you only have one Man available, then that's easy too.
Heaviest aircraft pulled (male) | Guinness World Records