You kind of confuse me with the way you explain things....
If your site is on a dedicated server "Or you have shell access" you could do a server
to server transfer. That would for sure be much faster than downloading and uploading again.
Also, it's probably not FileZilla that's slow, it will be your connection. FileZilla just does
what it is told. If the bandwidth is there it will use it.
Good luck.
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