Unfortunately standard Fedex, DHL & UPS don't have experience with Carnets. Instead, you should look for a freight forwarder or shipper who has experience with Carnets. Once you get your Carnet processed with us, simply contact them for shipping logistics.
Below are a few recommendations:
BGI WorldWide
Gallagher Transport
βhttps://gallaghertransport.com/
PackAir
βhttps://www.packair.com/