The product in question is the "Ventline Vanair 6-1/4" Round Roof Fan." There are a number of retail sources on the net which carry the product and can be found using the quoted phrase as your search terms. Here is a link to one source where you will find a number of photographs which add clarity to both the uninstalled unit and it's various components:
https://www.etrailer.com/RV-Vents-an.../VP-543SP.html
Dexter builds both the axles and the shower vents used by Airstream. The Dexter web site for parts and customer contact/support can be found here:
www.ventline.com
Replacement handles (and instructions) can be gotten via the phone number below. Be advised that a full replacement was usually easier and less costly that futzing with a minor fix to an aging unit. I haven't a clue about parts pricing or availability at this point in the supply chain disruption. I do recommend contacting Ventline as the fan has a two year warranty period and they are sometimes accommodating on expiring transition dated units.
Dexter
902 South Division Street
Bristol, IN 46507
Telephone: (574) 848-4491