Don't accept what I say without checking the US FedEx website.....
There probably are no customs related additional fees for shipments valued at under US$800 which is the free import limit into the US.
Personally I would be using UPS over FedEx, although my experience is pretty old, UPS service was smooth, FedEx not so much.
When I was using UPS (same would apply to FedEx) I always used "Free Domocile" billing, meaning that any additional charges would be billed to ME not the recipient.
When I was involved in that type of shipping FedEx were always known as the kings of up charges!

"What else could I do? I had no trade so I became a peddler" - Lazarus Greenberg 1915
- answering Trolls is voluntary, my policy is not to participate.